Address: Department of Mathematics Andrew Neitzke University of Texas at Austin 1 University Station, C1200 Curriculum Vitae Austin, TX 78712, USA Email: [email protected] January 2019 WWW: www.ma.utexas.edu/users/neitzke PGP key at: www.ma.utexas.edu/users/neitzke/pubkey.asc

Education 2005 : Ph.D. in Physics. Advisor: . 1999 Cambridge University: Certificate of Advanced Study in Mathematics. 1998 : AB Degree in Mathematics.

Employment 2015–present University of Texas at Austin, Department of Mathematics: Associate professor. 2009–2015 University of Texas at Austin, Department of Mathematics: Assistant professor. 2008–2009 Harvard University, Department of Physics: Postdoctoral researcher. 2005–2008 Institute for Advanced Study, Princeton, School of Natural Sciences: Member.

Awards and grants 2018 Fellow of the American Mathematical Society (2019 class). 2017 National Science Foundation grant 1711692 (DMS). 2016 Simons Fellowship in Mathematics. 2012 National Science Foundation CAREER grant 1151693 (DMS). 2012 Co-PI on National Science Foundation FRG grant 1160461 (DMS). 2012 John R. Durbin Teaching Excellence Award in Mathematics, UT Austin. 2010 National Science Foundation grant 1006046 (DMS). 2000 NDSEG Graduate Fellowship. 1998 British Marshall Scholarship. 1998 Valedictorian, Princeton University, Class of 1998.

Invited talks since 2011 Multi-lecture series are listed in bold. 2018 Perimeter (Higher Algebra in Mathematical Physics). 2018 Sendai (String-Math 2018). 2018 CIRM, Marseilles (Vector Bundles over Algebraic Curves). 2018 Michigan State University (Cluster Algebras and Mathematical Physics). 2018 G¨ottingen(Gauge theory and Geometry): Four lectures. 2018 University of Maryland (math seminar). 2017 Yale (math department colloquium). 2017 Rice (math department colloquium). 2017 Stanford (GEAR Network Retreat). 2017 Montana State (Topological and Geometric Methods in QFT, supplementary talk). 2017 (Mathematical Congress of the Americas, special session on Higgs Bundles in Geometry and Physics). 2017 UIUC (Enumerative Geometry, Mirror Symmetry and Physics). 2017 QGM, Aarhus (math seminar). 2017 Caltech (physics seminar). 2017 IPAM (Gauge Theory and Categorification). 2017 ICMS, Edinburgh (Workshop on Quantum Fields, Knots and Integrable Systems). 2017 Perimeter Institute (Mathematics and Physics of Hitchin Systems). 2016 University of Hamburg (DESY/ZMP colloquium). 2016 Stanford (SITP colloquium). 2016 Stanford (geometry seminar).

1 Curriculum Vitae: Andrew Neitzke 2

2016 Aspen Center for Physics (colloquium). 2016 EPFL, Lausanne (Wall-Crossing and Quiver Varieties): Three lectures. 2016 MSRI, Berkeley (Hot Topics: Cluster Algebras and Wall-Crossing). 2016 Heidelberg (Workshop on Mathematics and Physics of Higgs Bundles). 2016 Centre de Recherches Math´ematiques,Montreal (Moduli spaces, Integrable Systems and Topological Recursions). 2016 Texas A&M University (physics talk). 2016 AIMS, Cape Town (Workshop on Quadratic Differentials). 2015 Hausdorff Center for Mathematics, Bonn (Panorama of Mathematics conference). 2015 Loyola (AMS Sectional Meeting). 2015 AIM, San Jose (New Perspectives on Spectral Data for Higgs Bundles). 2015 Centre de Recherches Math´ematiques,Montreal (Positive Grassmannians: applications to integrable systems and super Yang-Mills scattering amplitudes). 2015 UC Berkeley (math seminar). 2015 UC Davis (joint math-physics talk). 2015 Northwestern University (departmental colloquium). 2014 TSIMF, Sanya, China (Current Developments of Mirror Symmetry). 2014 UC Berkeley (Workshop on Mathematics of Superconformal Field Theory): Four lectures. 2014 Kansas State University (William J. Spencer Lecture, math department). 2014 University of Illinois at Urbana-Champaign (math seminar). 2014 Princeton (STRINGS 2014, plenary lecture). 2014 CRM De Giorgi, Pisa (Intensive period on Teichm¨ullertheory and surfaces in 3-manifolds): Four lectures on spectral networks. 2014 Pacific Institute for the Mathematical Sciences (String-Math 2014 pre- workshop): Four lectures on Hitchin systems and the WKB approximation. 2014 UC Davis (Mathematics of Quantum Theory, conference in honor of Albert Schwarz). 2014 Northwestern University (Representation Theory, Integrable Systems and Quantum Fields). 2014 University of Heidelberg (Heidelberg Lectures in Mathematics and Physics): Three lectures on spectral networks. 2014 Miami (Workshop on Mirror Symmetry and Related Topics): Three lectures on construction of hyperholomorphic bundles and open string mirror symmetry. 2013 Oberwolfach (Cluster Algebras and Related Topics). 2013 IHES, Paris (Seminaire Itzykson, two-hour talk). 2013 Institut de Recherche Math´ematiqueAvanc´ee,Strasbourg (Cluster Algebras and Tropical Geometry): Two lectures on Hitchin’s equations and cluster algebras. 2013 Centre de Recherches Math´ematiques,Montreal (Geometry and Physics): Three lectures on solving Hitchin’s equations with gauge group GL(K). 2013 UC Berkeley (math seminar). 2013 Northwestern University (math seminar). 2013 Kansas State University (math seminar). 2013 CERN (Winter School on Supergravity, Strings, and Gauge Theory): Four lectures on wall-crossing in supersymmetric gauge theory. 2012 University of Illinois at Urbana-Champaign (GEAR Network retreat). 2012 Bonn (String-Math 2012 pre-workshop): Four lectures on wall-crossing in super- symmetric gauge theory. 2012 Simons Center (Simons Workshop on Mathematics and Physics). 2012 Instituto de Matem´aticas,Mexico City (math seminar). 2012 Simons Center (String Theory for ). 2012 City University and King’s College, London (Maths of String and Gauge Theory). 2012 St. John, Virgin Islands (Simons Symposium on Knot Homologies and BPS States). Curriculum Vitae: Andrew Neitzke 3

2012 BIRS, Banff (Advances in Hyperk¨ahlerand Holomorphic Symplectic Geometry). 2011 Texas A&M University (math seminar). 2011 Kansas State University: Three lectures on a construction of hyperk¨ahlermetrics, with brief application to rank-1 Hitchin systems. 2011 IHES, Paris: Joint lecture series with Maxim Kontsevich (six lectures for each speaker) on wall-crossing and applications. 2011 KITP Santa Barbara (Program on Nonperturbative Effects and Dualities). 2011 Cetraro (Mirror Symmetry & Tropical Geometry). 2011 University of Pennsylvania (String-Math 2011). 2011 Caltech (physics seminar). 2011 Jeju, Korea (Fifth Asian Winter School on Strings, Particles and Cosmology): Three lectures on wall-crossing in supersymmetric gauge theory. 2011 Solvay Institutes, Brussels (Solvay Workshop: Gauge Theory, Strings and Geometry). 2011 Miami (Workshop on Mirror Symmetry and Related Topics): Three lectures on construction of hyperk¨ahlermetrics using Donaldson-Thomas invariants.

Papers published or to appear 1. D. Dumas and A. Neitzke (2018). Asymptotics of Hitchin’s metric on the Hitchin section. To appear in Comm. Math. Phys. arXiv: 1802.07200v2 [math.DG].

2. L. Hollands and A. Neitzke (2017). BPS states in the Minahan-Nemeschansky E6 theory. Comm. Math. Phys. 353(1), 317–351. arXiv: 1607.01743 [hep-th].

3. A. Neitzke and F. Yan (2017). Line defect Schur indices, Verlinde algebras and U(1)r fixed points. JHEP 1711, 035. arXiv: 1708.05323 [hep-th]. 4. S. Cecotti, A. Neitzke, and C. Vafa (2016). Twistorial Topological Strings and a tt∗ Geometry for N = 2 Theories in 4d. Adv. Theor. Math. Phys. 20(2), 193–312. arXiv: 1412.4793 [hep-th]. 5. O. Dumitrescu, L. Fredrickson, G. Kydonakis, R. Mazzeo, M. Mulase, and A. Neitzke (2016). Opers versus nonabelian Hodge. To appear in J. Diff. Geom. arXiv: 1607.02172 [math.dg]. 6. L. Hollands and A. Neitzke (2016). Spectral networks and Fenchel-Nielsen coordinates. Letters in Mathe- matical Physics 106(6). arXiv: 1312.2979 [math.GT]. 7. S. Alexandrov, G. W. Moore, A. Neitzke, and B. Pioline (2015). An R3 index for four-dimensional N = 2 field theories. Phys. Rev. Lett. 114(121601). arXiv: 1406.2360 [hep-th]. 8. C. Cordova and A. Neitzke (2014). Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Me- chanics. JHEP 9. arXiv: 1308.6829 [hep-th]. 9. A. Dey and A. Neitzke (2014). Hyperkahler Sigma Model and Field Theory on Gibbons-Hawking Spaces. JHEP 04, 158. arXiv: 1401.0349 [hep-th]. 10. D. Gaiotto, G. W. Moore, and A. Neitzke (2014). Spectral networks and snakes. Annales Henri Poincar´e 15(1), 61–141. arXiv: 1209.0866 [hep-th]. 11. A. Neitzke (2014). Cluster-like coordinates in supersymmetric field theory. Proc. Nat. Acad. Sci. 111(27), 9717–9724. 12. A. Neitzke (2014). Hitchin systems in N = 2 field theory. In ”Exact results in supersymmetric field theory,” edited by J. Teschner. arXiv: 1412.7120 [hep-th]. 13. D. Gaiotto, G. W. Moore, and A. Neitzke (2013). Framed BPS States. Adv. Theor. Math. Phys. 17(2), 241– 397. arXiv: 1006.0146 [hep-th]. 14. D. Gaiotto, G. W. Moore, and A. Neitzke (2013). Spectral networks. Annales Henri Poincar´e 14(7), 1643– 1731. arXiv: 1204.4824 [hep-th]. 15. D. Gaiotto, G. W. Moore, and A. Neitzke (2013). Wall-crossing, Hitchin systems, and the WKB approxima- tion. Adv. Math. 234, 239–403. arXiv: 0907.3987 [hep-th]. 16. D. Galakhov, P. Longhi, T. Mainiero, G. W. Moore, and A. Neitzke (2013). Wild Wall Crossing and BPS Giants. JHEP 11, 046. arXiv: 1305.5454 [hep-th]. 17. A. Neitzke (2013). Notes on a new construction of hyperkahler metrics. In proceedings of Mirror Symmetry & Tropical Geometry, Cetraro 2011. arXiv: 1308.2198 [math.dg]. Curriculum Vitae: Andrew Neitzke 4

18. D. Gaiotto, G. W. Moore, and A. Neitzke (2012). Wall-crossing in coupled 2d-4d systems. JHEP 12. arXiv: 1103.2598 [hep-th]. 19. D. Gaiotto, G. W. Moore, and A. Neitzke (2010). Four-dimensional wall-crossing via three-dimensional field theory. Commun. Math. Phys. 299, 163–224. arXiv: 0807.4723 [hep-th]. 20. D. Gaiotto, A. Neitzke, and Y. Tachikawa (2010). Argyres-Seiberg duality and the Higgs branch. Commun. Math. Phys. 294, 389–410. arXiv: 0810.4541 [hep-th]. 21. M. G¨unaydin, A. Neitzke, O. Pavlyk, and B. Pioline (2008). Quasi-conformal actions, quaternionic discrete series and twistors: SU(2, 1) and G2(2). Commun. Math. Phys. 283, 169–226. arXiv: 0707.1669 [hep-th]. 22. U. Keshet and A. Neitzke (2008). Asymptotic spectroscopy of rotating black holes. Phys. Rev. D 78, 044006. arXiv: 0709.1532 [hep-th]. 23. A. Neitzke and J. Walcher (2008). “Background independence and the open topological string wavefunc- tion”. In: From Hodge theory to integrability and TQFT. Providence, R.I.: American Mathematical Society. arXiv: 0709.2390 [hep-th]. 24. S. Gukov, L. Motl, and A. Neitzke (2007). Equivalence of twistor prescriptions for super Yang-Mills. Adv. Theor. Math. Phys. 11, 199–231. arXiv: hep-th/0404085. 25. M. G¨unaydin, A. Neitzke, B. Pioline, and A. Waldron (2007). Quantum attractor flows. JHEP 09, 056. arXiv: 0707.0267 [hep-th]. 26. A. Neitzke, B. Pioline, and S. Vandoren (2007). Twistors and black holes. JHEP 04, 038. arXiv: hep-th/ 0701214. 27. M. G¨unaydin, A. Neitzke, and B. Pioline (2006). Topological wave functions and heat equations. JHEP 12, 070. arXiv: hep-th/0607200. 28. M. G¨unaydin, A. Neitzke, B. Pioline, and A. Waldron (2006). BPS black holes, quantum attractor flows and automorphic forms. Phys. Rev. D 73, 084019. arXiv: hep-th/0512296. 29. M. Aganagic, A. Neitzke, and C. Vafa (2005). BPS microstates and the open topological string wave func- tion. Adv. Theor. Math. Phys. 10, 603–656. arXiv: hep-th/0504054. 30. R. Dijkgraaf, S. Gukov, A. Neitzke, and C. Vafa (2005). Topological M-theory as unification of form theo- ries of gravity. Adv. Theor. Math. Phys. 9, 603–665. arXiv: hep-th/0411073. 31. A. Neitzke and C. Vafa (2004). “Topological strings and their physical applications”. In: Surveys in Differ- ential Geometry, Vol. X: Essays in Geometry in Memory of S.S. Chern. International Press. arXiv: hep- th/0410178. 32. M. R. Gaberdiel and A. Neitzke (2003). Rationality, quasirationality and finite W-algebras. Commun. Math. Phys. 238, 305–331. arXiv: hep-th/0009235. 33. L. Motl and A. Neitzke (2003). Asymptotic black hole quasinormal frequencies. Adv. Theor. Math. Phys. 7, 307–330. arXiv: hep-th/0301173. 34. L. Motl, A. Neitzke, and M. M. Sheikh-Jabbari (2003). Heterotic plane wave matrix models and giant glu- ons. JHEP 06, 058. arXiv: hep-th/0306051. 35. A. Iqbal, A. Neitzke, and C. Vafa (2002). A mysterious duality. Adv. Theor. Math. Phys. 5, 769–808. arXiv: hep-th/0111068. Preprints 1. L. Fredrickson and A. Neitzke (2017). From S1-fixed points to W-algebra representations. arXiv: 1709 . 06142v1 [math.DG]. 2. A. Neitzke (2017). Integral iterations for harmonic maps. arXiv: 1704.01522 [math.DG]. 3. A. Neitzke (2011). On a hyperholomorphic line bundle over the Coulomb branch. arXiv: 1110 . 1619 [hep-th]. 4. S. Cecotti, A. Neitzke, and C. Vafa (2010). R-Twisting and 4d/2d Correspondences. arXiv: 1006 . 3435 [hep-th]. 5. A. Neitzke and C. Vafa (2004). N = 2 strings and the twistorial Calabi-Yau. arXiv: hep-th/0402128. 6. A. Neitzke (2003). Greybody factors at large imaginary frequencies. arXiv: hep-th/0304080. 7. R. Dijkgraaf, A. Neitzke, and C. Vafa (2002). Large N strong coupling dynamics in non-supersymmetric orbifold field theories. arXiv: hep-th/0211194. 8. A. Neitzke (2000). Zhu’s theorem and an algebraic characterization of chiral blocks. arXiv: hep - th / 0005144. Curriculum Vitae: Andrew Neitzke 5

Service Referee for Journal of Differential Geometry, Communications in Mathematical Physics, Communications in Number Theory and Physics, Communications in Analysis and Ge- ometry, Journal of Geometry and Physics, Advances in Theoretical and Mathematical Physics, Nuclear Physics B, Journal of High Energy Physics, Physical Review D, Physi- cal Review Letters, Journal of Mathematical Physics, Letters in Mathematical Physics, Kyoto Journal of Mathematics, Cambridge University Press, Duke Mathematical Journal, several conference proceedings and special volumes. Served as National Science Foundation panelist and mail reviewer. Contributed reviews to Mathematical Reviews. Co-organizer of Aspen Center for Physics workshop “Mathematics of Superconformal Field Theory,” summer 2013. Co-organizer of the weekly Geometry and String Theory Seminar at UT Austin. Co-organizer of Banff International Research Station workshop “Geometric Unification from Six- Dimensional Physics,” May 24-29, 2015. Co-organizer of IPAM workshop “Gauge Theory and Categorification,” March 6-10, 2017. Students PhD students graduated: Richard Hughes (2018, co-supervised with David Ben-Zvi), Fei Yan (2018, physics, co-supervised with Jacques Distler)Aaron Fenyes (2016), Laura Fredrickson (2016), Cesar Garza (2015), Tom Mainiero (2015, physics, co-supervised with Jacques Distler). PhD students in candidacy: Ali Shehper (physics, co-supervised with Jacques Distler), Qianyu Hao (physics), Ravi Mohan (physics), Ivan Tulli. Teaching All courses listed were taught at University of Texas at Austin. 2018 M 408C Differential and Integral Calculus. 2017 M 392C Applications of Quantum Field Theory to Geometry. M 408L Integral Calculus (x2). 2016 M 392C Moduli of Higgs Bundles. 2015 M 408C Differential and Integral Calculus (x2). M 382D Differential Topology. 2014 M 408M Multivariable Calculus. M 392C Complex Geometry. 2013 M 365C Real Analysis. M 392C Riemannian Geometry. 2012 M 408L Integral Calculus. M 392C Applications of Quantum Field Theory to Geometry. 2011 M 361K Introduction to Real Analysis. M 392C Complex Geometry. 2010 M 340L Matrices and Matrix Calculations. M 408L Integral Calculus.