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D Phil, Professor

**Personal **Born 16 June 1965 in Odense, Denmark. Danish National.

Married to Ann Ellegaard-Andersen. Children: Amanda (1995), Simon (1997) and Sofie (2012).

**Academic degree**

Bachelor of Science, University of Southern Denmark (1988)

Master of Science (cand.scient.), University of Southern Denmark (1989)

DPhil. in Mathematics, University of Oxford (1992): Title: *Jones-Witten theory and the Thurston Compactification of Teichmüller space*, pp.129.

Oxford advisors and Mentors: N. Hitchin, J. Roe, G. Segal and S.K. Donaldson

**Appointments **1992 - 1994 C.B. Morrey Jr. assistant professor, University of California Berkeley

1992 - 1996 Assistant professor, Aarhus University

1996 Visiting scholar, University of California Berkeley

1996 General membership, Mathematical Sciences Research Institute

1996 - 1997 Research associate professor, Aarhus University

1997 - 2007 Tenured associate professor, Aarhus University

Fall 2000 Visiting associate professor, University of California Berkeley

Spring 2001 General membership, Mathematical Sciences Research Institute

2001 - 2002 Visiting Clay professor, University of California Berkeley (funded by the CMI)

2006 - 2011 Director, Center for the Topology and Quantization of Moduli Spaces (CTQM)

2007 - Professor, Aarhus University

2009 - Director, Centre for Quantum Geometry of Moduli Spaces (QGM)

2013 - Distinguished visiting professor, California Institute of Technology

**Scholarships and prizes **

1988 Rentokil Foundation travel scholarship

1988 The Odd Fellow prize for best student of Science at University of Southern Denmark

1988-1992 The Danish Academy of Science scholarship

1989-1992 The Danish Council for Independent Research, PhD scholarship

1989-1990 The Royal Society (UK), European Science Exchange Fellowship

1992-1994 Fulbright scholar

1996-1997 The Denmark-America Foundation scholarship

2000-2001 Danske Bank scholarship prize

2001-2002 Clay Mathematical Institute research scholar

**Grants**

1992 - 1996 National Science Foundation, *USD 1 million* (joint with Alan Weinstein)

2006 - 2011 The DFF | Natural Sciences (CTQM), *DKK 5 million*

2006 - 2011 Danish National Research Foundation, DNRF Niels Bohr Professorship (Nicolai

Reshetikhin), *DKK 21.1 million*

2008 - 2009 Danish Agency for Science and Higher Education (Proof of concept), *DKK 500.000*

2008 - 2009 Aarhus University (Proof of concept), *DKK 500.000*

2008 - 2012 Danish Agency for Science and Higher Education (GEOMAPS), *DKK 7.8 million*

2009 Villum Kann Rasmussen postdoc block grant, *DKK 1 million*

2009 - 2010 Aarhus University Research Foundation, AUFF guest researcher grant (Bob Penner),

*DKK 381.000 *

2009 - 2014 European Science Foundation Research Networking Program (ITGP), *DKK 4.5 million*

2009 - 2019 DNRF Center of excellence (QGM), *DKK 89.3 million *

2011 - 2012 AUFF guest researcher grant (Peter Zograf), *DKK 300.000 *

2012 - 2014 AUFF guest researcher grant (Dmitry Lebedev), *DKK 110.600*

2013 - 2014 AUFF guest researcher grant (Peter Zograf), *DKK 135.750 *

2014 - 2015 AUFF guest researcher grant (Leonid Chekhov), *DKK 400.000*

2014 - 2015 AUFF guest researcher grant (Rinat Kashaev), *DKK 125.000 *

2014 - 2017 AUFF, research group meetings at Sandbjerg, *DKK 600.000*

2014 - 2017 EU-IRSES, MODULI, *DKK 1 million*

2015 - 2016 Villum visiting professor grant (Leonid Chekhov), *DKK 400.000*

2015 - 2017 Conference grants (GEAR-network, Clay Mathematics Institute, Foundation Compositio

Mathematica, DYGEST, Luxembourg Univ., Carlsberg Foundation), *DKK 800.000*

2016 - 2019 AUFF starting grant (Associate Professor Cristiano Spotti), *DKK 2.7 million*

2017 - 2019 EU-H2020, Marie-Curie Individual Fellowship (Roberta Iseppi), *DKK 1.5 million*

**Research, groups & networks **1992- Member of the topology research group at Aarhus University

1992 - 1996

California Berkeley)

1995 6 month *special session on geometry and physics*, Aarhus University (organiser)

1998 - 2005 Principal investigator of DNRF network in mathematical physics & stochastics

2000 - 2004 Aarhus coordinator for the European Differential Geometry Endeavour (EU-network)

2005 - Board member of Centre for Theory in Natural Science, Aarhus University

2008 - 2009 Director of *System and method for modelling a molecule with a graph* (project funded by the Danish Agency for Science and Higher Education and Aarhus University)

2008 - 2012 Director of Geometry and Mathematical Physics School (GEOMAPS), funded by the

Danish Agency for Science and Higher Education

2009 - 2014 Director of Interactions of low dimensional Topology and Geometry with mathematical Physics (ITGP-network)

2011 - Member of the steering committee for the NSF research network GEAR (Geometric structures and Representation varieties)

2013 - Member of the steering committee for the Tsinghua Sanya Intl. Mathematics Forum

2015 - Member of the Modelling and Medicine research groups at iNANO, Aarhus University

2016 - Member of the BFI national committee for Mathematics (BFI = bibliometric research indicator), Danish Agency for Science and Higher Education

2017 - Member of the advisory board of the Doctoral Training Unit, GSM, Luxembourg University

**Editorships**

2005 - Journal of Knot Theory and Its Ramifications

2007 - Geometriae Dedicata

2010 - European Mathematical Society, QGM masterclass series (editor in chief)

**Academic services**

1992 - Referee for a broad spectrum of main journals in mathematics

1992 - Member of hiring committees for postdocs, associate- and full professor positions at Aarhus University & Technical Univ. of Denmark (DTU), Univ. of Luxembourg, Univ. of Porto and Chalmers University

1992 - Member of committees for MSc theses, PhD theses and habilitations at Aarhus University, Uppsala University, Univ. of Amsterdam, Univ. of Geneva and Paris VII

1992 - Graduate teaching committee, Department of Mathematics, Aarhus University, DK

2011 Award Committee, Yau High School Mathematics Awards, China

2012 Prize Committee, EMS Prizes of 2012 (presented at 6th ECM, Krakow, Poland)

2013 - 2016 Steering Committee, Tsinghua Sanya Intl. Mathematics Forum, China

2016 - Research Committee, Department of Mathematics, Aarhus University, DK

2016 - BFI-expert panel for mathematics, Agency for Science and Higher Education, DK

2017 - Advisory board, Doctoral Training Unit, GSM, Luxembourg University, Luxembourg

2017 Evaluation panel for Math., 2017 Call for SR & TD FCT Project Grants, Portugal

**Distinguished lectures **

- Lecture series, Hitchin connection,
*Toeplitz Operators and Reshetikhin-Turaev TQFT*, University of California Berkeley, October 2007 - Indiana University distinguished lecture series,
*Hitchin connection, Toeplitz Operators, and Reshetikhin-Turaev TQFT*, Indiana University Bloomington, October 2008 - Lecture series,
*Geometry of gauge theories and the geometric quantization*, Science Park Amsterdam, June 2010 - Lecture series,
*Folding of RNA proteins using moduli space techniques*, Kyoto, January 2012 *5.*Seminar Sophus Lie,*The geometric construction of the Reshetikhin-Turaev Topological Quantum Field Theory*, University of Luxembourg, June 2012- Lecture series,
*Hitchin connection, Toeplitz Operators, and Reshetikhin-Turaev TQFT*, ICMAT School on Conformal Blocks, Madrid, October 2012 - Lecture series,
*Moduli space approach for RNA structure analysis (I), Moduli space approach for protein structures (II), Quantum Chern-Simons field theory (III)*, Tokyo University, July 2013 - The Chern-Simons Research Lectures,
*The geometric construction of the Witten-Reshetihin-Turaev TQFT's and applications*, University of California Berkeley, May 2014 - Lecture series,
*Geometric quantization and topological recursion*, Max Planck Institute for Mathematics, Bonn, November 2014 - 125'th Annual Meeting of the Deutsche Mathematiker-Vereinigung, Plenary lecture,
*Topological quantum field theory in low dimensional topology*, Hamburg, September 2015 - AMS von Neumann Symposium, Lecture series,
*Geometric quantisation of moduli spaces and topological recursion*, Charlotte, NC, July 2016 - Distinguished IGA Lecture Series, Univ. of Adelaide, Australia, December 2017

**Summary of academic activities **

*Publications: 63*peer reviewed published papers.*54*in pure mathematics including Proc. Int. Congress of Math. (1), Proc. Int. Congress of Math. Phys. (1), Ann. Math. (1), Invent. Math. (1), Adv. Math. (3), J. Reine Angew. Math. (1), Topology (1), Math. Ann. (1), Asian J. Math. (1), Quantum Topology (5), Comm. Math. Phys. (4), Proc. Amer. Math Soc. (1), Int. J. Math (2), Math. Proc. Camb. Phil. Soc. (2), J. Knot Theory Ramifications (4), Q. J. Math. (1), J. Math. Kyoto Univ. (1), Algebr. Geom. Topol. (1), Topol. Appl. (1), Lett. Math. Phys. (2), Travaux Math. (8), J. Geometry Phys. (1), Theoret. and Math. Phys. (1), J. Comput. Appl. Math. (1).

*9* in bioinformatics incl. Nature Commun. (1), Comm. Pure App. Math. (1), Bioinformatics (2), J. Comp. Biol. (1), J. Math Biol. (1), Biochem. Soc. Trans. (1), Nucl. Phys. B (1).

*3 *proceedings edited & *2* patent manuscripts.

*Invited talks: 182*(12 distinguished lectures, 100 conferences/workshops, 73 colloquia/seminars)*Grants obtained: DKK 145 million*(Danish: DKK 130 million, European: EUR: 0.9 million, American: USD 1.1 million)*Events organized: 97*(43 conferences/workshops/special events, 28 masterclasses, 10 mini-courses & 16 distinguished lectures)*Courses taught: 55*(45 at Aarhus University, 10 at UC Berkeley)*PhD students: 26*(15 supervised, 2 co-supervised, 9 currently under supervision)*Postdocs: 34*(31 supervised, 3 currently under supervision)*Outreach activities: 47*features*(14*interviews/expert statements*, 33*event related features*)*

** **

**Dedicated journal volumes**

- Quantum Topology 3, issue 3/4 (2012)
- Travaux Mathématiques, vol. XXV (2017)

** **

**Area of Expertise **Quantum topology, Geometric quantization of moduli spaces, Topological quantum field theory, Low dimensional geometry and topology, Applications of moduli spaces techniques to RNA and protein folding.

** **

**Publications **Peer reviewed mathematics research publications

- J.E. Andersen, J. Mattes & N. Reshetikhin,
*The Poisson structure on the moduli space of flat connections and chord diagrams*. Topology**35****(4)**(1996), 1069-1083. - J.E. Andersen,
*Geometric quantization of symplectic manifolds with respect to reducible non-negative polarizations*. Comm. Math. Phys.**183****(2)**(1997), 401-421. - J.E. Andersen,
*Fixed points of the mapping class group in the SU(n) moduli spaces*. Proc. Amer. Math. Soc.**125****(5)**(1997), 1511-1515. - J.E. Andersen,
*New polarizations on the moduli spaces and the Thurston compactification of Teichmüller space*. International Journal of Mathematics,**9****(1)**(1998), 1-45. - J.E. Andersen, J. Mattes & N. Reshetikhin,
*Quantization of the algebra of chord diagrams*. Math. Proc. Camb. Phil. Soc.**124****(3)**(1998), 451-467. - J.E. Andersen & G. Masbaum,
*Involutions on moduli spaces and refinements of the Verlinde formula*. Mathematische Annalen**314****(2)**(1999), 291-326. - J.E. Andersen & V. Turaev,
*Higher skein modules*. Journal of Knot Theory and its Ramifications**8 (8)**(1999), 963-984. - J.E. Andersen & V. Turaev,
*Higher skein modules, II*in Topology, Ergodic Theory, Real Algebraic Geometry: Rokhlin's Memorial. Edited by V. Turaev & A. Vershik, 21-30, Amer. Math. Soc. Transl. Ser. 2, 202, Adv. Math. Sci., 50, Amer. Math. Soc.,Providence, RI, USA, 2001. - J.E. Andersen,
*The asymptotic expansion conjecture*, section 7.2 of*Problems on invariants of knots and 3-manifolds.*Edited by T. Ohtsuki, in "Invariants of knots and 3-manifolds (Kyoto 2001)", Editors: Tomotada Ohtsuki, Toshitake Kohno, Thang Le, Jun Murakami, Justin Roberts and Vladimir Turaev in, "Geometry & Topology Monographs",**4**(2002), 474-481. - J.E. Andersen,
*Deformation Quantization and Geometric Quantization of Abelian Moduli Spaces*. Comm. Math. Phys.**255****(3)**(2005), 727-745. - J.E. Andersen,
*Asymptotic faithfulness of the quantum SU(n) representations of the mapping class groups*. Annals of Mathematics,**163 (1)**(2006), 347-368. - J.E. Andersen & J. Grove,
*Automorphism Fixed Points in the Moduli Space of Semi-Stable Bundles*. The Quarterly Journal of Mathematics,**57****(1)**(2006), 1-35. - J.E. Andersen & S.K. Hansen,
*Asymptotics of the quantum invariants for surgeries on the figure 8 knot*. Journal of Knot theory and its Ramifications,**15****(4)**(2006), 479-548. - J.E. Andersen, G. Masbaum & K. Ueno,
*Topological Quantum Field Theory and the Nielsen-Thurston classification of M (0,4)*. Math. Proc. Camb. Philos. Soc.**141****(3)**(2006), 477-488. - J.E. Andersen & K. Ueno,
*Geometric Construction of Modular Functors from Conformal Field Theory*. Journal of Knot theory and its Ramifications.**16 (2)**(2007), 127-202. - J.E. Andersen & K. Ueno,
*Abelian Conformal Field Theories and Determinant Bundles*. International Journal of Mathematics.**18 (8)**(2007) 919-993. - J.E. Andersen,
*The Nielsen-Thurston classification of mapping classes is determined by TQFT*. J. Math. Kyoto Univ.**48****(2)**(2008), 323-338. - J.E. Andersen & R. Villemoes,
*The first cohomology of the mapping class group with coefficients in algebraic functions on the SL*Algebr. Geom. Topol._{2}(C) moduli space.**9****(2)**(2009), 1177-1199. - J.E. Andersen & C. Berg,
*Quantum Hilbert matrices and orthogonal polynomials*. Journal of Computational and Applied Mathematics**233****(3)**(2009) 723-729. - J.E. Andersen, A. J. Bene & R. C. Penner,
*Groupoid extensions of mapping class representations for bordered surfaces*. Topology and its Applications**156****(17)**(2009) 2713-2725. - J.E. Andersen,
*Asymptotics of the Hilbert-Schmidt norm of curve operators in TQFT*. Letters in Mathematical Physics**91****(3)**(2010) 205-214. - J.E. Andersen & J. Fjelstad,
*Reducibility of quantum representations of mapping class groups*. Letters in Mathematical Physics**91 (3)**(2010) 215-239. - J.E. Andersen,
*Toeplitz operators and Hitchin's projectively flat connection*in The many facets of geometry: A tribute to Nigel Hitchin. Edited by O. Garcia-Prada, J.P. Bourguignon & S. Salamon, 177-209, Oxford Univ. Press, Oxford, 2010. - J.E. Andersen & J. Fjelstad,
*On reducibility of mapping class group representations: the SU(n) case*in Noncommutative structures in mathematics and physics. Edited by S. Caenepeel, J. Fuchs, S. Gutt, C. Schweigert, A. Stolin & F. Van Oystaeyen, 27-45, Koninklijke Vlaamse Academie van Belgie voor Wetenschappen en Kunsten, Brussels, 2010. - J.E. Andersen, A.J. Bene, J.-B. Meilhan & R.C. Penner,
*Finite type invariants and fatgraphs*. Advances in Mathematics.**225****(4)**(2010) 2117-2161. - J.E. Andersen & R. Villemoes,
*Degree one cohomology with twisted coecients of the mapping class group*in Proceedings of 17th Gökova Geometry-Topology Conference 2010. Edited by S. Akbalut, T. Önder & D. Auroux, 64-78, International Press, Somerville, Massachusetts, 2011. - J.E. Andersen & N.L. Gammelgaard,
*Hitchin' s projectively flat connection, Toeplitz operators and the asymptotic expansion of TQFT curve operators*in Grassmannians in Moduli Spaces and Vector Bundles. Edited by D.A. Ellwood & E. Previato, 1-24, Clay Math. Proc., 14, Amer. Math. Soc., Providence, RI, 2011. - J.E. Andersen & J. L. Blaavand,
*Asymptotics of Toeplitz operators and applications in TQFT*. Travaux Mathématiques,**19**(2011), 167-201. - J.E. Andersen & K. Ueno,
*Modular functors are determined by their genus zero data*. Quantum Topology**3****(3-4)**(2012), 255-291. - J.E. Andersen,
*Hitchin's connection, Toeplitz operators and symmetry invariant deformation quantization*. Quantum Topology**3 (3-4)**(2012), 293-325. - J.E. Andersen, N.L. Gammelgaard & M.R. Lauridsen,
*Hitchin's connection in metaplectic quantization*. Quantum Topology**3 (3-4)**(2012), 327-357. - J.E. Andersen & R. Villemoes,
*Cohomology of mapping class groups and the abelian moduli space*. Quantum Topology**3****(3-4)**(2012), 359-376. - J.E. Andersen & B. Himpel,
*The Witten-Reshetikhin-Turaev invariants of finite order mapping tori II*. Quantum Topology**3****(3-4)**(2012), 377-421. - J.E. Andersen,
*The Witten-Reshetikhin-Turaev invariants of finite order mapping tori I*. Journal für die Reine und Angewandte Mathematik.**681**(2013), 1-38. - J.E. Andersen & R.M. Kashaev,
*Quantum Teichmüller theory and TQFT*in XVIIth International Congress on Mathematical Physics. Edited by A. Jensen, 684-692, World Sci. Publ., Hackensack, NJ, 2014. - J.E. Andersen & R.M. Kashaev,
*A TQFT from quantum Teichmüller theory*. Comm. Math. Phys.**330****(3)**(2014), 887-934. - J.E. Andersen & K. Ueno,
*Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory*. Invent. Math.**201 (2)**(2015), 519-559. - J.E. Andersen & R.M. Kashaev,
*Faddeev's quantum dilogarithm and state-integrals on shaped triangulations*in Mathematical Aspects of Quantum Field Theories. Edited by D. Calaque & T. Strobl, Mathematical Physics Studies. Springer. XXVIII (2015), 133-152. - J.E. Andersen & S.F. Jørgensen,
*On the Witten-Reshetikhin-Turaev invariants of torus bundles*. Journal of Knot Theory and its Ramifications,**24 (11)**1550055 (2015), 1-48. - J.E. Andersen, L.O. Chekhov, P. Norbury & R.C. Penner,
*Models of discretized moduli spaces, cohomological field theories, and Gaussian means*. Journal of Geometry and Physics,**98**(2015), 312-339. - J.E. Andersen, L.O. Chekhov, P. Norbury & R.C. Penner,
*Topological recursion for Gaussian means and cohomological field theories*. Theor. Math. Phys.**185****(3)**(2015), 1685-1717. - N.V. Alexeev, J.E. Andersen, R.C. Penner, P.G. Zograf,
*Enumeration of chord diagrams on many intervals and their non-orientable analogs*. Adv. Math.**289**(2016), 1056-1081. - J.E. Andersen, P. Masulli, F. Schätz,
*Formal connections for families of star products*. Comm. Math. Phys.**342****(2)**(2016), 739–768. - J.E. Andersen, B. Himpel, S.F. Jørgensen, J. Martens & B. McLellan,
*The Witten-Reshetikhin-Turaev invariant for links in finite order mapping tori I*. Adv. Math.**304**(2017), 131–178. - J.E. Andersen & N.S. Poulsen,
*Coordinates for the Universal Moduli Space of Holomorphic Vector Bundles*, Travaux Math.**XXV**(2017), 9-39. - J.E. Andersen & J.-J.K. Nissen,
*Asymptotic aspects of the Teichmüller TQFT*, Travaux Math.**XXV**(2017), 41-95. - J.E. Andersen & S. Marzioni,
*Level N Teichmuller TQFT and Complex Chern-Simons Theory*, Travaux Math.**XXV**(2017), 97-146. - J.E. Andersen & W.E. Petersen,
*Construction of Modular Functors from Modular Tensor Categories*, Travaux Math.**XXV**(2017), 147-211. - J.E. Andersen, H. Fuji, R.C. Penner, C. Reidys,
*The boundary point-length enumeration of partial chord diagrams via cut and join recursion*, Travaux Math.**XXV**(2017), 213-232. - J.E. Andersen, H. Fuji, M. Manabe, R.C. Penner & P. Sulkowski,
*Partial Chord diagrams and Matrix models*, Travaux Math.**XXV**(2017), 232-283. - J.E. Andersen, H. Fuji & M. Manabe, R.C. Penner & P. Sulkowski,
*Enumeration of chord diagrams via topological recursion and quantum curve techniques*, Travaux Math.**XXV**(2017), 285-323.

To appear:

- J.E. Andersen & N.S. Poulsen,
*An explicit Ricci potential for the Universal Moduli Space of Vector Bundles,*Asian Journal of Mathematics, 2017. - J. E. Andersen & K. Rasmussen,
*A Hitchin connection for a large class of families of Kähler structures*, Proceedings of Hitchin70, Oxford University Press, 2017. - J.E Andersen & R. Kashaev,
*The Teichmüller TQFT*, Proceedings of ICM, Rio de Janeiro, 2018.

Peer reviewed bioinformatics research publications

- R.C. Penner, M. Knudsen, C. Wiuf & J.E. Andersen,
*Fatgraph Models of Proteins*. Communication in Pure and Applied Math**63 (10)**(2010), 1249-1297. - R.C. Penner, M. Knudsen, C. Wiuf & J.E. Andersen,
*An Algebro-Topological Description of Protein Domain Structure*. PLoS ONE**6 (5)**e19670 (2011), 1-14. - C.M. Reidys, F.W.D. Huang, J.E. Andersen, R.C. Penner, P.F. Stadler & M. Nebel,
*Topology and prediction of RNA pseudoknots*. Bioinformatics**27 (8)**(2011) 1076-1085. - C.M. Reidys, F.W.D. Huang, J.E. Andersen, R.C. Penner, P.F. Stadler & M. Nebel,
*Addendum: Topology and prediction of RNA pseudoknots*in Bioinformatics**28 (2)**(2012) 300-300. - J.E. Andersen, F.W.D. Huang, R.C. Penner & C.M. Reidys,
*Topology of RNA-RNA interaction structures*. Journal of Computational Biology**19 (7)**(2012), 928-943. - J.E. Andersen, R.C. Penner, C.M. Reidys & M.S. Waterman,
*Topological classification and enumeration of RNA structures by genus*. Journal of Mathematical Biology**67 (5)**(2013), 1261-1278. - J. E. Andersen, L. O. Chekhov, R.C. Penner, C. M. Reidys & P. Sulkowski,
*Enumeration of RNA complexes via random matrix theory*. Biochemical Society Transactions**41 (2)**(2013), 652-655. - J. E. Andersen, L. O. Chekhov, R. C. Penner, C. M. Reidys & P. Sulkowski,
*Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces*. Nuclear Physics, Section B,**866 (3)**(2013), 414-443. - R.C. Penner, E.S. Andersen, J.L. Jensen, A.K. Kantcheva Maike Bublitz, P. Nissen, A.M.H. Rasmussen, K.L. Svane, B. Hammer, R. Rezazadegan, N.Chr. Nielsen, J.T. Nielsen & J.E. Andersen,
*Hydrogen bond rotations as a uniform structural tool for analyzing protein architecture*. Nature Communications**5**(2014), article no. 5803.

Proceedings edited

- J.E. Andersen, J. Dupont, H. Pedersen & A. Swann. Editors of
*Geometry and Physics, proceedings of the conference at Aarhus University, Aarhus, Denmark*. Lecture Notes in Pure and Applied Mathematics**184**, Marcel Dekker Inc., 1997. - J.E. Andersen, H.U. Boden, A. Hahn & B. Himpel. Editors of
*Chern-Simons Gauge Theory: 20 Years After*. Studies in Advanced Mathematics**50**, American Mathematical Society, International Press, 2010. - L. Alvarez-Consul, J.E. Andersen, I. Mundet i Riera. Editors of
*Geometry and Quantization of Moduli Spaces*. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, 2016.

Patent manuscripts

- R.C. Penner, J.E. Andersen, M. Knudsen, C. Wiuf,
*System and method for modelling a molecule with a graph*, Patent number PA 2008 01009. 17.01.2008, pp. 13 & 19. - J.E. Andersen, R.C. Penner,
*System and method for associating a moduli space with a molecule,*Patent number PA 2009 70162. 19.10.2009, pp. 49 & 10.

**Invited talks**

Conferences/workshops (plenary speaker, since 2005)

- Opening of the Mathematics-Physics Center (MP2),
*The WRT-TQFT via geometric quantization of moduli spaces*, Gothenburg, April 2007 - Eleventh NRW Topology Meeting,
*The Hitchin connection, Toeplitz operators and TQFT,*Universität Bielefeld, May 2009 - The 2009 Georgia International Topology Conference,
*The Hitchin connection, Toeplitz operators and TQFT,*University of Georgia, Athens, May 2009 - Third International Conference on Geometry and Quantization (GEOQUANT),
*The Hitchin connection, Toeplitz operators and TQFT*, University of Luxembourg, September 2009 - NZIMA workshop on TQFTs and Knot Homology Theories,
*Asymptotics in TQFT*,University of Auckland, January 2010 - Seventeenth Gökova Geometry / Topology conference,
*TQFT, Hitchin's connection and Toeplitz operators*, Gökova, Turkey, May 2010 - 2nd workshop on combinatorics of moduli spaces, cluster algebras, and symplectic invariants,
*TQFT, Hitchin's connection and Toeplitz operators,*Laboratoire J.-V. Poncelet, Steklov Mathematical Institute, May 2010 - ESF conference on Teichmüller Theory and its Interactions in Mathematics and Physics,
*TQFT, Hitchin's connection and Toeplitz operators,*Centre de Recerca Matemàtica, Bellaterra, Spain, June/July 2010 - Workshop on Quantum geometry and topology,
*Quantum geometry of moduli spaces*, CIRM, Luminy, France, July 2010 - FRG Workshop: Mathematical 2D-field theory and the algebraic topology of closed manifolds,
*An application of quantization ideas to pure mathematics: TQFT, Hitchin's connection and Toeplitz operators,*Stony Brook, August 2010 - Journées en l'honneur de Pierre Vogel, TQFT,
*Hitchin's connection and Toeplitz operators,*Institut Henri Poincaré, October 2010 - Workshop: Teichmüller Theory,
*The Mapping class groups do not have Kazhdan's Property T,*Oberwolfach, December 2010 - Conference on Representation of Surface Groups and Higgs Bundles,
*Asymptotics in TQFT*, Isaac Newton Institute, March 2011 - Second Conference of Tsinghua Sanya International Mathematics Forum,
*Asymptotics of the Reshetikhin-Turaev TQFT,*TSIMF, Sanya, December 2011 - Conference on Topological Quantum Field Theories,
*Asymptotics in TQFT*, University of Barcelona, December 2011 - Workshop on Geometry and analysis of surface group representations,
*Asymptotics of the Hitchin connection*, Institut Henri Poincaré, February 2012 - Winter School in Mathematical Physics,
*A TQFT from Quantum Teichmüller Theory*, Les Houches, February 2012 - Masterclass and workshop: Topological Quantum Field Theories,
*The geometric construction of the WRT-TQFT*, Centre de Recerca Matemàtica, April 2012 - Conference on Algebraic Topology, Field Theory and Strings,
*A TQFT from Quantum Teichmüller Theory*, Simons Center, Stony Brook, May 2012 - Conference on Conformal Field Theory and von Neumann Algebras,
*The geometric construction of the Reshetihin-Turaev TQFT,*Vanderbilt University, May 2012 - Conference on Mapping class groups and quantum topology,
*The geometric construction of the Reshetikhin-Turaev Topological Quantum Field Theory,*University of Strasbourg, June 2012 - Conference on Geometry and Quantization of Moduli Spaces,
*The Hitchin connection in geometric quantization*, CRM Barcelona, June 2012 - New Perspectives in Topological Field Theories,
*The geometric construction of the Reshetikhin-Turaev Topological Quantum Field Theory*, Universität Hamburg, August 2012 - 18th International Conference on DNA Computing and Molecular Programming,
*Geometry-based prediction and classification of biomolecular architecture*, Centre for DNA Nanotechnology, Aarhus University, August 2012 - Conference on Teichmüller Theory: Quantization and relations with physics,
*Asymtotics in TQFT*, Erwin-Schrödinger Institute, Vienna, April 2013 - Conference on Moduli Spaces and Macromolecules,
*Tutorial on Moduli Spaces,*Institut des Hautes Études Scientifiques, May 2013 - Workshop: Quantization, topological models and generalized geometries,
*The Hitchin connection, Toeplitz operators and deformation quantization,*Bayrischzell, May 2013 - The Fourth Conference of Tsinghua Sanya International Mathematics Forum (grand opening),
*Open problems in and around Quantum Chern-Simons theory,*Tsinghua University, December 2013 - Calabi-Yau Geometry and Mirror Symmetry conference,
*The Hitchin connection and non abelian theta functions,*National Taiwan University, January 2014 - Workshop: New Trends in Teichmüller Theory and Mapping Class Groups,
*Quantum representations of mapping class groups and asymptotics in Teichmüller space*, Oberwolfach, February 2014 - Modern trends in topological quantum field theory,
*Quantum representations of mapping class groups via geometric quantization of moduli spaces*, Erwin-Schrödinger Institute, February 2014 - Analytic & Algebraic Geometry Conference,
*Quantum representations of mapping class groups and applications,*India, March 2014 - GEAR Network Retreat
*, Quantum representations of Mapping Class Groups via geometric quantization of Moduli Spaces,*Maryland, March 2014 - Conference “On Quantization of Moduli Spaces”,
*The Hitchin-Witten connection and quantum Chern-Simons theory for complex gauge groups*, Geneva, April 2014 - 4th workshop: Combinatorics of Moduli Spaces, Cluster Algebras and Topological Recursion,
*The representation of the mapping class group from the quantum Chern-Simons theory for the complex gauge groups SL(n,C)*, Steklov Mathematical Institute, May 2014 - Colloquium:
*Understanding the geometry of moduli spaces via curves on surfaces*, University of California Berkeley, May 2014 - Conference on Noncommutative Geometry and Mathematical Physics,
*Representations of mapping class groups arising from Quantum Chern-Simons theory,*Scalea (Italy), June 2014 - Conference on Geometry, Quantum Topology and Asymptotics,
*The Hitchin connection, degenerations in Teichmüller space and SYZ-mirror symmetry*, Geneva, June 2014 - DRSC summer conference,
*Chern-Simons quantum field theory and moduli spaces: Applications to protein and RNA folding and quantum computing*, Darpa (Virginia), July 2014 - Conference on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles,
*The Hitchin-Witten connection and quantum Chern-Simons theory for complex gauge groups,*Singapore, August 2014 - Workshop: Low-dimensional Topology and Number Theory, Oberwolfach,
*Quantum Chern-Simons theory for SL(n, C)*, August 2014 - Workshop: Quantum curves, Hitchin systems, and the Eynard-Orantin theory,
*Geometric quantization, Hitchin connection and Topological Recursion,*American Institute of Mathematics, September 2014 - Irish Quantum Foundations 75th Anniversary,
*Quantum Chern-Simons theory via geometric quantisation of moduli spaces*, Dublin, May 2015 - Workshop: Geometric Invariants and Spectral Curves,
*Quantization of Moduli Spaces*, Leiden, June 2015 - International conference on subfactor theory in mathematics and physics,
*Moduli spaces and TQFT*, Qinhuangdao, July 2015 - International Conference on Geometry and Quantization (GEOQUANT),
*The Hitchin connection in geometric quantization*, Madrid, September 2015 - 96e rencontre entre mathématiciens et physiciens théoriciens: Géométrie et biophysique,
*H-bond rotations in proteins and H-bond networks,*IRMA, Strasbourg, September 2015 - Workshop: Spectral data for Higgs bundles,
*Geometric Quantization of Moduli spaces flat connections*, American Institute of Mathematics, September 2015 - RMT2015 workshop: Random matrix theory from fundamental mathematics to biological applications,
*H-bond rotations in proteins and H-bond networks*, Japan, November 2015 - In celebration of Kenji Ueno's 70th birthday: Various Aspects of Algebraic Geometry,
*Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory*, Tokyo, December 2015 - 27th Nordic Congress of Mathematicians,
*Quantization of Moduli Spaces and Quantum Chern-Simons Theory,*Institut Mittag-Leffler, March 2016 - 5th Workshop: Combinatorics of Moduli Spaces, Hurwitz Spaces and Cohomological Field Theories,
*Geometric quantisation of Higgs moduli spaces*, Steklov Mathematical Institute, June 2016 - Workshop: New perspectives on Higgs bundles, branes and quantization,
*Geometric quantisation of Higgs moduli spaces*, Simons Center (NY), June 2016 - Conference on Quantum Algebras, Quantum Integrable Models and Quantum Information,
*Geometric quantisation of Higgs moduli spaces*, University of Gothenburg, July 2016 - Conference on Interactions between topological recursion, modularity, quantum invariants and low-dimensional topology,
*The Verlinde formula for Higgs Bundles*, University of Melbourne, December 2016 - QUANTMOD-Quantization and Moduli Spaces,
*The Verlinde formula for Higgs bundles,*University of Luxembourg, January 2017 - Workshop on Physics and knot homologies,
*The Verlinde formula for Higgs bundles,*Isaac Newton Institute, University of Cambridge, April 2017 - Tsinghua’s Mathematical Sciences Discipline Celebrated its 90th Anniversary,
*The Verlinde formula for Higgs bundles*, Tsinghua University, April 2017 - Conference on Invariants in low dimensional geometry & topology, Toulouse,
*The Verlinde formula for Higgs bundle moduli spaces*, May 2017 - Conference on Higgs bundles and related topics, Laboratoire J.A. Dieudonné,
*The Verlinde formula for Higgs bundle moduli spaces*, June 2017 - Foundations of Computational Mathematics (FoCM) conference, University of Barcelona,
*Topological determination of H-bonds rotations in Proteins*, July 2017 - GEOQUANT school 2017, lecture series at Aarhus University,
*Quantisation of Moduli Spaces*, July/August 2017 - Gauge theories, monopoles, moduli spaces and integrable systems; a conference honouring Prof. Jacques Hurtubise on his 60th birthday, CRM, Montreal,
*The Verlinde Formula for Higgs Bundle Moduli Spaces*, August 2017

Colloquia/seminars (since 2005)

- Seminar,
*Asymptotic Faithfulness of the Quantum SU(n) Representations of the Mapping Class Groups*, Atlanta, Georgia, November 2005 - Seminar,
*Topological Quantum Field Theory and Conformal Field Theory*, Kyoto, December 2005 - Seminar,
*Toeplitz Operators and Hitchin's Projectively Flat Connection*, Madrid, September 2006 - Seminar,
*Asymptotic faithfulness and Toeplitz operators,*Universität Basel, February 2007 - Seminar,
*The mapping class group does not have Kazhdan's property (T),*Geneva, May 2007 - Seminar,
*The geometric construction of TQFT's,*Paris, July 2007 - Seminar,
*Toeplitz Operators, Hitchin's Connection and the Reshetikhin-Turaev TQFT*, Roskilde University, April 2008 - Seminar,
*Hitchin connection, Toeplitz operators, and Reshetikhin-Turaev TQFT*, Strasbourg, September 2007 - Seminar,
*The Hitchin connection, geometric quantization of moduli spaces and mapping class groups*, University of Oxford, February 2008 - Seminar,
*The mapping class group does not have Kazhdan's property (T)*, Amsterdam, April 2008 - Seminar,
*The mapping class group does not have Kazhdan's property (T)*, University of Leuven, May 2008 - Seminar series:
*Toeplitz Operators, Hitchin's Connection and the Reshetikhin-Turaev TQFT*, Moscow, June 2008 - Seminar,
*Geometric quantization of moduli spaces*, Marseille, September 2008 - Seminar,
*The Hitchin connections, TQFT and quantum representations of the mapping class group*, University of Barcelona, July 2009 - Seminar,
*TQFT and the quantum geometry of moduli spaces*, UCSD, September 2009 - Seminar talk on Maxim Kontsevich´s work, Institut des Hautes Études Scientifiques, November 2009
- Seminar,
*Topological Quantum Field Theory and Mapping Class Groups*, Lausanne, December 2009 - Seminar,
*Asymptotics in TQFT*, University of Amsterdam, September 2010 - Algebraic topology and physics seminar,
*Asymptotics in Reshetikhin-Turaev TQFT*, Simons Center, Stony Brook, April 2012 - Algebraic Geometry Seminar,
*The geometric construction of the Reshetikhin-Turaev mapping class group representations and asymptotics*, Columbia University, New York, May 2012 - Seminar,
*Enumeration of chord diagrams using moduli space techniques and applications to RNA and Protein folding*, DTU, April 2013 - Seminar,
*Protein folding and Moduli Spaces*, Hong Kong, September 2013 - Seminar
*, RNA and protein folding via moduli space techniques*, Loughborough, October 2013 - Geometry and Physics Seminar,
*The Hitchin connection and quantum Chern-Simons theory Oxford*, October 2013 - Geometry and Topology Seminar,
*The Hitchin connection and quantum complex Chern-Simons theory*, Caltech, November 2013 - Colloquium,
*The Witten-Reshetikhin-Turaev quantum representations of mapping class groups and applications*, Ruprecht-Karls Universität Heidelberg, May 2014 - Geometry/Topology Seminar,
*The Witten-Reshetikhin-Turaev quantum representations of mapping class groups*, Chicago, May 2014 - Seminar,
*Moduli spaces and folding of RNA and protein molecules*, UC Davis, October 2014 - Seminar,
*Complex TQFT and the Hitchin connection*, Copenhagen, DTU, August 2015 - Geometry seminar,
*Quantization of Moduli Spaces and Quantum Chern-Simons Theory,*University of Glasgow, February 2016 - Geometry working seminar
*, Quantization of Moduli Spaces and Quantum Chern-Simons Theory,*EPFL, Lausanne, March 2016 - Seminar,
*Moduli Space Techniques in RNA and Protein Folding,*Kyoto University, February 2017 - Seminar,
*Geometric Quantisation of Moduli Spaces and Relations to TQFT,*Kyoto University, February 2017 - Seminar,
*The Verlinde formula for Higgs bundles,*Tokyo University, February 2017

** **

**Organiser of events **

Distinguished Lectures (organizer, since 2006)

- CTN Lindhard Lecture by Edward Witten (Institute for Advanced Study, Princeton), Aarhus, June 2006
- CTQM Nielsen Lecture by Edward Witten (Institute for Advanced Study, Princeton), Aarhus, June 2006
- CTQM Nielsen Lecture I & II by Ludwig Faddeev (Steklov Institute of Mathematics, Moscow), Aarhus, March 2007
- CTQM Nielsen Lecture by Curtis T. McMullen (Harvard University), Aarhus, April 2008
- CTQM Nielsen Lecture by Vaughan Jones (University of California Berkeley), Aarhus, August 2008
- Colloquium by Ludwig Faddeev (Steklov Institute of Mathematics, Moscow), Aarhus, August 2010
- QGM Nielsen Lecture by Stanislav Smirnov (University of Geneva), Aarhus, September 2010
- ITGP talk by Richard Thomas (Imperial College), Cambridge, March 2011
- ITGP talk by Nigel Hithin (University of Oxford), Cambridge, March 2011
- ITGP talk by Samson Shatashvili (Trinity College Dublin), Aarhus, January 2012
- QGM Nielsen Lecture by Don Zagier (Max Planck Institute for Mathematics, Bonn), Aarhus, January 2013
- QGM Nielsen Lecture by Jürg Frölich (ETH Zürich), Aarhus, June 2013
- QGM Nielsen Lecture by Shing-Tung Yau (Harvard University), Aarhus, July 2013
- QGM Colloquium by Barry Simon (California Institute of Technology), Aarhus, January 2014
- QGM Colloquium by Seth Putterman (UCLA), Aarhus, December 2014
- QGM Seminar by Maxim Kontsevich (Institut des Hautes Études Scientifiques), Aarhus, August 2016

Mini courses (organizer, since 2007)

- Sergei Gukov, Callifornia Institute of Technology,
*Gauge Theory and Categorification*, Aarhus, June, 2007 - Dmitry Lebedev, Institute for Theoretical and Experimental Physics, Moscow,
*TFTs and local Archimedean Langlands Correspondence*(3 lectures), Aarhus, 2011 - Dmitry Lebedev, Institute for Theoretical and Experimental Physics, Moscow,
*Whittaker function and beyond*(3 lectures), Aarhus, June 2012 - Vladimir Fock, Strasbourg University,
*Integrable systems, affine Lie groups and dimers*(6 lectures), Aarhus, June 2012 - Jonathan Weitsman, Northeastern University,
*Equivariant Morse Theory, Old and New*(3 talks), Aarhus, June 2012 - Christian Zickert, University of Maryland
*Triangulations, gluing equations, and simplicial Chern-Simons theory*(3 lectures), Aarhus, August 2012 - Oscar Garcia Prada, ICMAT,
*Higgs bundles*(4 lectures), Aarhus, August 2013 - Dmitry Lebedev, Institute for Theoretical and Experimental Physics, Moscow,
*Lectures on Whittaker function*(6 lectures), Aarhus, June 2014 - Nicolai Reshetikhin, University of California Berkeley,
*Topological field theories on cell complexes*(6 lectures), Aarhus, January 2017 - Hartmut Weiss, Christian-Albrechts-Universität, Kiel, & Steven Rayan, University of Saskatchewan,
*Asymptotics of Higgs bundles and hyperpolygons*(12 lectures), Aarhus, June 2017

CTQM / QGM masterclasses (organizer, since 2006)

- Robert C. Penner, California Institute for Technology,
*Decorated Teichmüller Theory,*Aarhus August/September 2006 - David Hernandez, Centre Nationnal de la Recherche Scientifique,
*An Introduction to Affine Kac-Moody Algebras*, Aarhus, October 2006 - Martin Schlichenmaier, University of Luxembourg,
*Berezin-Toeplitz Quantization*, Aarhus, March 2007 - Athanase Papadopoulos, Strasbourg University,
*Hyperbolic Geometry and Thurston's Boundary of Teichmüller**Theory*, Aarhus, April 2007 - Anton Kapustin, California Institute of Technology,
*Electric-Magnetic Duality and the Geometric Langland's Programme,*Aarhus, August 2007 - Gregor Masbaum, Université de Paris VII,
*Integral TQFT*, Aarhus, October 2007 - Andrew Putman, Massachusetts Institute of Technology,
*The Torelli Group*, Aarhus, March 2008 - Xiping Zhu, Sun Yat-sen University & Binglong Chen, Sun Yat-sen University,
*Ricci Flow and Geometrization of Three-Manifolds*, Aarhus, June 2008 - Vaughan Jones, Vanderbilt University,
*Planar Algebra*, Aarhus, August 2008 - Dylan Thurston, Indiana University,
*Bordered Heegaard Floer Homology*, Aarhus, October/November 2008 - Nicolai Reshetikhin, University of California Berkeley,
*Quantization of gauge systems*, Aarhus, November 2009 - Sergey Fomin, University of Michigan and Phillippe Di Francesco, Institut de Physique Theorique, CEA Saclay,
*Cluster algebras*, Aarhus, June 2010 - Maxim Kontsevich, Institute de Haute Études Scientifique,
*Wall-crossing*, Aarhus, August 2010 - Volodymyr Mazorchuk, Uppsala University,
*Categorification*, Aarhus, October 2010 - Nigel Hitchin, University of Oxford & Marco Gualtieri, University of Toronto,
*Generalized Geometry*, Aarhus, May/June 2011 - Tomaz S. Mrowka, Massachusetts Institute of Technology,
*Instantons, Knots and Khovanov*, Aarhus, August 2011 - Anton Alekseev, University of Geneva, Anna Lachowska, University of Geneva & Pavel Severa, University of Geneva,
*Drinfeld associators and the Kashiwara-Vergne problem*, Aarhus, October 2011 - Ignasi Mundet i Riera, University of Barcelona,
*Vortex equations and Hamiltonian GW invariants*, Aarhus, January 2012 - Jeremy Kahn, Brown University & Vladimir Markovic, California Institute of Technology,
*The Ehrenpreis conjecture*, Aarhus, August 2012 - Bertrand Eynard, Institut de Physique Theorique, CEA Saclay & Nicolas Orantin, Instituto Superior Téchnico, Lissabon,
*Recursion from matrix models to quantum algebraic geometry*, Aarhus, January 2013 - Dror Bar Natan, University of Toronto,
*(u,v,w knots)x(topology, combinatorics, low and high algebra),*Aarhus, May/June 2013 - Ben Elias, Boston University & Geordie Williamson, Max Planck Institute for Mathematics, Bonn,
*Soergel bimodules & Kazhdan-Lusztig conjectures*, Aarhus, March 2013 - Martin Bridgeman, Boston College, Dick Canary, University of Michigan & A. Sambarino, Université de Paris VII,
*Pressure and Weil-Petersson metrics*, Aarhus, August 2013 - Barry Simon, California Institute of Technology,
*Spectral Theory of Orthogonal Polynomials*, Aarhus, February 2014 - Nitin Nitsure, TATA Institute of Fundamental Research, Mumbai, Indranil Biswas, TATA Institute of Fundamental Research, Mumbai & Vikraman Balaji, Chennai Mathematical Institute,
*Principal Bundles/**Algebraic Stacks/**Deformation Theory and Moduli/**Instability and tensor products*, Aarhus, June 2014 - Ivan Loseu, Northeastern University,
*Quantized quiver varieties*, Aarhus, March 2015 - Dominic Joyce, University of Oxford and Limo Amorim, University of Oxford,
*Derived Differential Geometry/**Applications of moduli spaces of J-holomorphic curves to symplectic geometry*, Aarhus, August 2015 - Nicolai Reshetikhin, University of California Berkeley,
*Perturbative quantization of gauge theories on manifolds with boundary*, Aarhus, September 2015

Conferences/workshops (organizer, since 1995)

- Conference,
*Geometry and Physics,*Aarhus, July 1995 - Workshop,
*Topology, Geometry and Quantization*, Aarhus, July 2005 - Symposium,
*Opening Symposium for CTQM*, Aarhus, March 2006 - Workshop,
*Quantum Moduli Spaces and TQFT*, Aarhus, August 2006 - Workshop and PhD School,
*Inflation and String Cosmology*in collaboration with The Danish Astrophysics Research School, Aarhus, October 2006 - Workshop,
*CTQM Nielsen Retreat*, Sandbjerg, Nov/Dec 2006 - Workshop,
*Toeplitz Operator Theory and Deformation Quantization*, Aarhus, March 2007 - Workshop,
*Geometry and TQFT*, Aarhus, June 2007 - Workshop,
*Algebraic and Geometric Lie Theory (AGLT),*Aarhus, June, 2007 - Workshop,
*CTQM Nielsen Retreat*, Sandbjerg, October, 2007 - Workshop,
*Finite Type Invariants, Fat Graphs and Torelli-Johnson-Morita Theory*, Aarhus, March/April, 2008 - Workshop,
*CTQM-GEOMAPS Nielsen Retreat*, Sandbjerg, October, 2008 - Conference,
*Chern-Simons Gauge Theory: 20 years after*, Max Planck Inst., Bonn, August 2009 - Workshop,
*CTQM-GEOMAPS Nielsen Retreat*, Sandbjerg, October, 2009 - Workshop,
*q-Representation theory*, Aarhus University, December 2009 - Workshop,
*GEOMAPS Retreat*, Aarhus University, March 2010 - Workshop,
*RNA workshop*by Michael Waterman & Christian Reidys, Aarhus, April 2010 - Symposium,
*QGM Official Opening Symposium*, Aarhus, May 2010 - Workshop,
*Quantum Dilogarithm & Quantum Teichmüller Theory*, Aarhus, August 2010 - Workshop,
*QGM/CTQM Nielsen Retreat*, Sandbjerg, October 2010 - Conference and winter school,
*Quantization of Singular Spaces*by Huebschmann, Posthuma and Lerman, Aarhus, December 2010 - Spring School,
*Geometry and Quantum Topology*, Les Diablerets, Switzerland, March 2011 - Workshop,
*GEOMAPS retreat*, Aarhus, June 2011 - Workshop,
*Aarhus Gauge Theory Workshop*, Aarhus, August 2011 - Workshop,
*QGM Nielsen Retreat*, Sandbjerg, October 2011 - Masterclass and workshop on Topological Quantum Field Theories, Centre de Recerca Matemàtica, Barcelona, April 2012
- Workshop,
*Retreat for QGM and GEOMAPS PhD students*, Aarhus, May/June 2012 - Conference,
*Progress in low-dimensional topology: Teichmüller theory and 3-manifold groups,*Aarhus, August 2012 - Workshop,
*QGM Nielsen Retreat*, Sandbjerg, October 2012 - Conference,
*Topological recursion and quantum algebraic geometry*, Aarhus, Jan/Feb 2013 - Conference,
*EMS/DMF Joint Mathematical Weekend*, session: Quantum and Riemannian Geometry, Aarhus, April 2013 - Conference,
*Moduli Spaces and Macromolecules*, Institut des Hautes Études Scientifiques, May 2013 - Workshop,
*QGM Nielsen Retreat*, Sandbjerg, October 2013 - Workshop,
*QGM Nielsen Retreat*, Sandbjerg, October 2014 - Conference,
*New Developments in TQFT*, Aarhus, July 2015 - Workshop,
*Spectral data for Higgs bundles*(AIM-workshop), California, September 2015 - Workshop,
*QGM Nielsen Retreat*, Sandbjerg, November 2015 - Summer School by Ekholm & Reshetikhin, Aarhus, August 2016
- Conference,
*Hitchin 70*, Triple event in honour of Nigel Hitchin, Aarhus, September 2016 - Workshop,
*QGM Nielsen Retreat*, Sandbjerg, October/November 2016 - Workshop,
*QUANTMOD-Quantization and Moduli Spaces*, Luxembourg, January 2017 - GEOQUANT school (Aarhus University) & conference (Sandbjerg), July/Aug 2017
- Workshop,
*QGM Nielsen Retreat*, Sandbjerg, November 2017

**Supervision of undergraduate students**

Anders T. K. Skov, MSc (2000)

Thesis title: *Versillievinvarianter og MMR-formodningen*

Karsten Hansen, BSc (2000)

Thesis title: *Knuder og Knudediagrammer*

Claus Simonsen, BSc (2003)

Thesis title: *Knudeteori*

Troels Færgen-Bakmar, BSc (2008)

Thesis title: *Farvede Jones polynomier af knuder*

Eva Gjaldbæk Frandsen, BSc (2011)

Thesis title: *Kauffman bracket skeinmodulet og det farvede Jones-polynomium*

Mathias Mosegaard Nielsen, BSc (2016)

Thesis title: *Knudeteori - Knuder, Invarianter og det Farvede Jones-Polynomium*

**Supervision of PhD students**

Current PhD students

Kenneth Rasmussen (2017)

Alessandro Malusà (2017)

Gabriele Rembado (2018) (co-supervisor)

Mette Bjerre (2019)

William Pedersen (2019)

Jan Christensen (2020)

Sebastian Ørsted (2020)

Andreas Skovbakke (2020)

Yuki Koyanagi (2020)

Previous PhD students

Søren Kold Hansen (1999)

Thesis title: *Reshetikhin-Turaev invariants of Seifert 3-manifolds and their asymptotic expansions*

Teaching Assistant, Department of Mathematical Sciences, University of Aarhus, 1999-2000

Marie Curie Postdoctoral Fellow, Strasbourg, France, 2000–2002

Postdoctoral Fellow, School of mathematics, University of Edinburgh, 2002-2003

Postdoctoral Fellow, Max-Planck-Institut fur Mathematik, Bonn, 2003-2004

Assistant Professor (tenure-track), Dept. of Mathematics, Kansas State Univ., USA, 2004-2006

Associate Professor, Department of Mathematics, DTU, 2006– 2007

Senior System Development Consultant, SimCorp A/S, 2007– 2009

Senior System QA Analyst, SimCorp A/S, 2009

Chief QA Analyst, SimCorp A/S, 2010

Senior Quantitative Analyst, Nordea Markets / lecturer at University of Copenhagen (2010-present)

Jakob Grove (1999)

Thesis title: *Modular functors, TQFTs, and moduli spaces of vector bundles*

Postdoctoral Fellow, Institut Mittag-Leffler, 1998-1999

Postdoctoral Fellow, Kyoto University, Jan. 2000-Dec2001

Visiting Researcher, Centers for Disease Control and Prevention, 2006-2007

Associate Professor, Aarhus University, Dept. of Public Health, 2007-2009

Marie Curie fellow, deCODE genetics, 2011 (4 months)

Associate professor at Bioinformatics Research Centre (BiRC), (2009-present)

Frank Nasser (2005)

Thesis title: *Torsion Subgroups of Jacobians Acting on Moduli Spaces of Vector Bundles*

Teacher, Odense Tekniske Gymnasium, (2004-present)

Lecturer at the Department of Mathematics and Computer Science, SDU (2007-present)

Anders Reiter Skovborg (2006)

Thesis title: *The Moduli Space of Flat Connections on a Surface Poisson Structures and Quantization*

Software developer at Edlund A/S (2006-present)

Rasmus Villemoes (2009)

Thesis title: *Cohomology of Mapping Class Groups with Coefficients in Functions on Moduli Spaces*

Postdoc, QGM, Aarhus University, 2009-2011

Researcher, deCODE genetics, 2011-2013

Postdoc, QGM, Aarhus University, 2013-2015

Software developer, Prevas (current position)

Niels Leth Gammelgaard (2010)

Thesis title: *Kähler Quantization and Hitchin Connections*

Analyst, Vestas 2010-2012

Information Management Consultant, Platon 2012-2013

Postdoc, QGM, Aarhus University, 2013-2015

Analyst, Maersk, 2015

Chief analytics officer, Ontame.io (current position)

Magnus Roed Frydenberg (2010)

Thesis title: *Aspects of Quantum Mathematics – Hitchin Connections and AJ Conjectures*

Scientific Assistant, Dept. of Mathematical Sciences, Aarhus University 2010

Performance Engineer, Vestas Offshore AS 2010-2012

Sales Manager, Vestas Offshore AS 2012-2014

Pricing Specialist, Vestas Offshore Wind 2014-2016

Senior Specialist, Vestas Offshore Wind (current position)

Sam Lewallen (visiting PhD student June-Oct 2011)

Thesis title: ‘*Floergåsbord’ (General subject matter: Low-Dimensional Topology) *Postdoc at Princeton Neuroscience Institute (current position)

Hiro Lee Tanaka (visiting PhD student Jun-Dec 2011)

Thesis titel: *A Functor from Lagrangian Cobordisms to the Fukaya Category*

MSRI Postdoctoral Fellow 2014

Benjamin Peirce Fellow and NSF Postdoctoral Fellow at Harvard University (current position)

Søren Fuglede Jørgensen (2013)

Thesis title: *Semi-classical properties of the quantum representations of mapping class groups*

Research assistant, QGM, Aarhus University, 2013

Postdoc at Uppsala University 2013-2015

Numerical Specialist DONG Energy Wind Power (current position)

Amit De (2013)

Thesis title: *On the asymptotic expansion of the curvature of perturbations of the L2 connection*

Quantitative Analyst, Danske Commodities (current position)

Jens-Jakob Kratmann Nissen (2014)

Thesis title: *The Andersen–Kashaev TQFT*

Research Assistant, QGM, Aarhus University, 2014

Risk assessment manager, ATP (current position)

Shehryar Sikander (2014)

Thesis title: *Riemann Surfaces: vector bundles, physics, and dynamics*

Research Assistant, QGM, Aarhus University, 2014-2015

Postdoc at ICTP, Italy (current position)

Paolo Masulli (2014)

Thesis title: *Formal connections in deformation quantization*

Premier assistant at the Neuroheuristic Research Group, University of Lausanne (2014-2017)

Postdoc at Technical University of Denmark (DTU) (2017-2021)

Jens Kristian Egsgaard (2015)

Thesis title: *Hitchin connections for genus 0 quantum representations*

Research Assistant, QGM, Aarhus University, 2015

Postdoc at Max Planck Institute for Mathematics, Bonn (current position)

Simone Marzioni (2016)

Thesis title: *Complex Chern-Simons Theory: Knot Invariants and Mapping Class Group Representations*

Research Assistant, QGM, Aarhus University, 2016

Niccolo S. Poulsen (2016)

Thesis title: *The Universal Moduli Space of pairs of a Riemann surface and a Holomorphic Vector Bundle and its Hitchin Connection.*

Research Assistant, QGM, Aarhus University, 2016

Model developer at Nordea (current position)

** **

**Supervision of postdocs**

Karl Magnus Jacobsson (2006-2007)

Associate Professor, Uppsala University

Dorin Cheptea (2006-2007)

Researcher, Institute of Mathematics of the Romanian Academy

Guillaume Théret (2006-2008)

Researcher, Université de Bourgogne

Cristina Martínez (2006-2008)

Jens Fjeldstad (2007-2008)

Senior Lecturer at Uppsala University

Associate Professor at Örebro University

Nuno Miguel Romão (2007-2008)

Scientific Assistant, Augsburg University

Jean-Baptiste Meilhan (2007-2008)

Maître de Conférences, Institut Fourier, Université Grenoble

Thomas Kragh (2007-2008)

Associate Professor, Uppsala University

Alex Bene (2007-2008)

Data Engineer, IRIS TV

Emmanuel Wagner (2008-2009)

Maître de Conférences, Université de Bourgogne

Matthew Bainbridge (2009-2010)

Associate Professor at Indiana University

Dezhen Xu (2009-2010)

Postdoc, Sichuan

Gor Sakissian (2009-2010)

Researcher, Yerevan State University

Rasmus Villemoes (2009-2011/2013-2014)

Private software developer, Prevas

Johan Martens (2009-2011)

Chancellor's Fellow and Lecturer, University of Edinburgh

Reza Rezazadegan (2009-2011)

Research Scientist, Virginia Tech

Benjamin Himpel (2009-2012)

Head of industrial Mathematics, TWT GmbH

Hans-Christian Herbig (2009-2013)

Professor, Department of Mathematics, Federal University of Rio de Janeiro

Mario Garcia Fernandez (2010-2012)

Postdoc, ICMAT, Madrid

Douglas LaFountain (2010-2012)

Tenure track, Western Illinois University

Kasper K. S. Andersen (2011)

Associate Professor, Lund University

Vito Iacovino (2011-2012)

Brendan McLellan (2011-2013)

Postdoc, Harvard

Subhojoy Gupta (2012-2015)

Assistant Professor, Indian Institute of Science, IISc Bangalore

Daniel Tubbenhauer (2013-2014)

Postdoc, Hausdorff Center for Mathematics (HCM), Bonn

Travis Mandel (2013-2015)

Research Assistant Professor, University of Utah

Florian Schätz (2013-2015)

Postdoc, University of Luxembourg

Niels Leth Gammelgaard (2013-2015)

Chief analytics officer, Ontame.io

Sudarshan Gurjar (2014-2015)

Assistant Professor, Indian Institute of Technology Bombay

Yang Huang (2014-2017)

Postdoc, Uppsala University

Qiongling Li (2014-2018)

Shared postdoc position (QGM/Caltech)

Satoshi Nawata (2015-2016)

Tenured position, Fudan University, Japan

Du Pei (2016-2019)

Shared postdoc position (QGM/Caltech)

Roberta Iseppi (2017-2019)

Marie Curie fellow at QGM

**Teaching at Aarhus University **PhD and graduate courses

*Gauge-theory and invariants of 3-dimensional manifolds*, fall 1994

*Gauge-theory and invariants of 3-dimensional manifolds*, spring 1995

*Gauge-theory and invariants of 3-dimensional manifolds*, fall 1995

*Riemann surfaces and holomorphic vector bundles*, spring 1997

*Riemann surfaces and holomorphic vector bundles*, fall 1997

*Knot theory,* spring 1998

*Complex geometry*, fall 1998

*Seminar in symplectic geometry and topology*, fall 1999

*Geometric Quantization*, spring 2004

*Topological Quantum Field Theory and Knot Theory*, fall 2004

*Conformal Field Theory and TQFT*, spring 2005

*Topology and Quantization of Moduli Spaces*, fall 2005

*String topology*, spring 2006

*Riemann Surfaces*, spring 2006

*Quantization of moduli spaces,* fall 2006

*Quantization of moduli spaces*, spring 2007

*Quantization of moduli spaces, *fall 2007

*Geometric Quantum Field Theory*, spring 2008

*Riemann Surfaces*, spring 2008

*Torelli-Johnson-Morita theory and Finite-Type Invariants*, spring 2008

*Quantization of Moduli Spaces and TQFT*, fall 2008

*Conformal and Topological Quantum Field Theory*, fall 2008

*Lie Groups and Chern-Simons Theory*, fall 2009

*Higgs Bundles and the Geometric Langlands Program*, spring 2010

*Moduli spaces of vector bundles on Riemann surfaces*, fall 2010

*Quantum theory, real and imaginary*, spring 2011

*Topological Quantum Field Theories and Moduli Spaces*, spring 2011

*Symplectic Geometry, Non-Abelian Localization and Path Integrals*, fall 2011

*Introduction to Gauge Theory*, fall 2011

*Smooth Manifolds, Group Actions and Moduli Spaces*, fall 2012

*Conformal Field Theory*, spring 2012

*Smooth Manifolds, Group Actions and Moduli Spaces*, spring 2013

*Smooth Manifolds, Group Actions and Moduli Spaces*, fall 2013

*Riemann Surfaces*, spring 2014

*Knot Theory*, fall 2014

*Symplectic Geometry and Equivariant Cohomology*, fall 2014

*Differential Geometry*, spring 2015

*Gauge Theory and characteristic classes, *fall 2015

*Complex Geometry*, spring 2016

*An introduction to Higgs bundles, *fall 2016

*Differential Geometry, *spring 2017

Undergraduate courses

*Geometry 1*, spring 1998

*Geometry 1*, spring 1999

*Geometry 1*, spring 2000

*Geometry 1*, spring 2010

**Teaching at University of California Berkeley **

Graduate and advanced graduate courses

Algebraic Topology, fall 1993

Gauge theory and quantum Chern-Simons theory, spring 1994

Undergraduate courses

Ordinary differential Equations, fall 1992

Complex Function theory (honors course), spring 1993

Introduction to Mathematical Analysis, spring 1993

Elementary Algebraic Topology, spring 1994

Complex Function theory, spring 1996

Complex Function theory (honors course), spring 1996

Complex Function theory, spring 2000

Complex Function theory, spring 2000