Andrew Neitzke

Home , Andrew Neitzke, Geometric analysis

Andrew Neitzke

Department of Mathematics The University of Texas at Austin 1 University Station, C1200 Austin, TX 78712, USA

Education 2000–2005 Harvard University: Ph.D. in Physics. Thesis entitled: “Toward a Nonperturbative Topological String,” advised by Professor Cumrun Vafa. Viva date: July 2005. 1999–2000 Cambridge University: Research supervised by Dr. Matthias Gaberdiel and Professor Peter Goddard. 1998–1999 Cambridge University: Certiﬁcate of Advanced Study in Mathematics (Part III of the Mathematical Tripos), with distinction. 1994–1998 Princeton University: A.B. Degree in Mathematics.

Employment 2010– 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: Member.

Awards and grants 2010 National Science Foundation grant 1006046 (DMS, Geometric Analysis): “Supersymmetric Gauge Theory, Donaldson-Thomas Invariants and Hyperkahler¨ Geometry.” 2000 NDSEG Graduate Fellowship. 1998 British Marshall Scholarship. 1998 Valedictorian, Princeton University, Class of 1998.

Teaching Spring 2011 M 392C (Complex Geometry), University of Texas, Austin. Fall 2010 M 340L (Matrices and Matrix Calculations), University of Texas, Austin. Spring 2010 M 408L (Integral Calculus), University of Texas, Austin. Refereed publications D. Gaiotto, A. Neitzke and Y. Tachikawa, “Argyres-Seiberg duality and the Higgs branch,” Commun. Math. Phys. 294 (2009) 389–410, arXiv:0810.4541.

D. Gaiotto, G. Moore and A. Neitzke, “Four-dimensional wall-crossing via three-dimensional ﬁeld theory,” Commun. Math. Phys. 299 (2010) 163–224, arXiv:0807.4723.

A. Neitzke and J. Walcher, “Background independence and the open topological string wave function,” in From Hodge theory to integrability and TQFT (2008), American Mathematical Society, arXiv:0709.2390.

U. Keshet and A. Neitzke, “Asymptotic spectroscopy of rotating black holes,” Phys. Rev. D78 (2008) 044006, arXiv:0709.1532.

M. Gunaydin,¨ A. Neitzke, O. Pavlyk, and B. Pioline, “Quasi-conformal actions, quaternionic discrete series and twistors: SU(2, 1) and G2(2),” Commun. Math. Phys. 283 (2008) 169–226, arXiv:0707.1669.

M. Gunaydin,¨ A. Neitzke, B. Pioline, and A. Waldron, “Quantum attractor ﬂows,” JHEP 9 (2007) 056, arXiv:0707.0267.

A. Neitzke, B. Pioline, and S. Vandoren, “Twistors and black holes,” JHEP 04 (2007) 038, hep-th/0701214.

M. Gunaydin,¨ A. Neitzke, and B. Pioline, “Topological wave functions and heat equations,” JHEP 12 (2006) 070, hep-th/0607200.

M. Gunaydin,¨ A. Neitzke, B. Pioline, and A. Waldron, “BPS black holes, quantum attractor ﬂows and automorphic forms,” Phys. Rev. D73:084019 (2006), hep-th/0512296.

M. Aganagic, A. Neitzke, and C. Vafa, “BPS microstates and the open topological string wave function,” Adv. Theor. Math. Phys. 10 (2006) 603–656, hep-th/0504054.

R. Dijkgraaf, S. Gukov, A. Neitzke, and C. Vafa, “Topological M-theory as uniﬁcation of form theories of gravity,” Adv. Theor. Math. Phys. 9 (2005) 603–665, hep-th/0411073.

A. Neitzke and C. Vafa, “Topological strings and their physical applications,” in Surveys in Differential Geometry, Vol. X (2006), International Press, hep-th/0410178.

S. Gukov, L. Motl, and A. Neitzke, “Equivalence of twistor prescriptions for super Yang-Mills,” Adv. Theor. Math. Phys. 11 (2007) 199–231, hep-th/0404085.

L. Motl, A. Neitzke, and M. M. Sheikh-Jabbari, “Heterotic plane wave matrix models and giant gluons,” JHEP 06 (2003) 058, hep-th/0306051.

L. Motl and A. Neitzke, “Asymptotic black hole quasinormal frequencies,” Adv. Theor. Math. Phys. 7 (2003) 307–330, hep-th/0301173.

A. Iqbal, A. Neitzke, and C. Vafa, “A mysterious duality,” Adv. Theor. Math. Phys. 5 (2002) 769–808, hep-th/0111068.

M. R. Gaberdiel and A. Neitzke, “Rationality, quasirationality and ﬁnite W-algebras,” Commun. Math. Phys. 238 (2003) 305–331, hep-th/0009235. Other publications D. Gaiotto, G. Moore and A. Neitzke, “Wall-Crossing in Coupled 2d-4d Systems,” arXiv:1103.2598.

S. Cecotti, A. Neitzke and C. Vafa, “R-twisting and 4d/2d Correspondences,” arXiv:1006.3435.

D. Gaiotto, G. Moore and A. Neitzke, “Framed BPS States,” arXiv:1006.0146.

D. Gaiotto, G. Moore and A. Neitzke, “Wall-crossing, Hitchin systems, and the WKB approximation,” arXiv:0907.3987.

R. Ionas and A. Neitzke, “A note on conformal symmetry in projective superspace,” arXiv:0811.2048.

A. Neitzke and C. Vafa, “N = 2 strings and the twistorial Calabi-Yau,” hep-th/0402128.

A. Neitzke, “Greybody factors at large imaginary frequencies,” hep-th/0304080.

R. Dijkgraaf, A. Neitzke, and C. Vafa, “Large N strong coupling dynamics in non-supersymmetric orbifold ﬁeld theories,” hep-th/0211194.

A. Neitzke, “Zhu’s theorem and an algebraic characterization of chiral blocks,” hep-th/0005144.

Invited lecture series January 2011 University of Miami (Fifth Workshop on Mirror Symmetry and Related Topics): Three lectures on a construction of hyperkahler¨ metrics and its application to Hitchin systems. January 2011 Jeju, Korea (Fifth Asian Winter School on Strings, Particles and Cosmology): Three lectures on wall-crossing in supersymmetric gauge theory. June 2010 ICMS, Edinburgh (conference on Hodge Theoretic Reflections on the String Landscape): Three lectures on effective field theory and its mathematical applications. August 2009 Center for Mathematical Physics, Hamburg (summer school “BPS state counting, stability structures and derived algebraic geometry”): Three lectures on BPS states. June 2009 University of Pennsylvania (2009 Graduate Summer School “Geometry of Quantum Fields and Strings”): 15 hours of lectures on supersymmetric quantum field theory for very patient graduate students. October 2007 Institute for Advanced Study, Princeton (Special Year on New Connections of Representation Theory to Algebraic Geometry and Physics): 10 hours lecturing on electric-magnetic duality, quantum field theory and topological strings for mathematicians.

Invited talks in the last five years August 2011 KITP Santa Barbara (Program on Nonperturbative Effects and Dualities in QFT and Integrable Systems): “Spectral networks.” July 2011 Cetraro (Mirror Symmetry & Tropical Geometry): “A 2d-4d wall-crossing formula.” June 2011 University of Pennsylvania (String-Math 2011): “A 2d-4d wall-crossing formula.” May 2011 Caltech (physics): “Wall-crossing in coupled 2d-4d systems.” May 2011 Brussels (Solvay Workshop on “Gauge Theory, Strings and Geometry”): “Gauge theory and BBB branes.” December 2010 University of Michigan (math): “Enumerative invariants and Hitchin systems.” December 2010 Northeastern University (math): “Enumerative invariants and Hitchin systems.” December 2010 DESY, Hamburg (workshop From Sigma Models to Four-dimensional QFT): “Surface operators, wall-crossing and hyperholomorphic bundles.” October 2010 Texas A&M University (physics): “Surface operators and wall-crossing.” August 2010 Stony Brook (Simons Workshop on Mathematics and Physics): “4d and 2d-4d wall-crossing.” May 2010 University of Illinois at Urbana-Champaign (conference on Wall-Crossing in Mathematics and Physics): “Wall-crossing, hyperkahler¨ metrics and hyperholomorphic bundles.” May 2010 Perimeter Institute (conference on Connections in Geometry and Physics): “Wall-crossing and hyperkahler¨ geometry.” March 2010 Simons Center for Geometry and Physics, Stony Brook (workshop on Perspectives, Open Problems and Applications of Quantum Liouville Theory): “N=2 theories, hyperkahler geometry, BPS states and all that.” March 2010 University of Kentucky (AMS Sectional Meeting): “Wall-crossing and Hitchin systems. Part 2: Dimensional reduction, hyperkahler metrics and Hitchin’s equations.” February 2010 University of California, San Diego (conference on Tropical Geometry and Mirror Symmetry): “Wall-crossing in Hitchin systems.” September 2009 Institute of Physics, Czech Academy of Sciences: “Four-dimensional wall-crossing from three-dimensional field theory.” June 2009 Oxford University (HoRSe): “BPS wall-crossing, field theory and hyperkahler¨ geometry” (two talks). May 2009 Institute for Physics and Mathematics of the Universe, Tokyo (Focus Week on New Invariants and Wall Crossing): “Hyperkahler¨ geometry and BPS wall-crossing.” April 2009 University of Pennsylvania (mathematics): “Hyperkahler¨ geometry and BPS wall-crossing.” April 2009 Harvard University (mathematics): “Wall-crossing and hyperkahler¨ geometry.” April 2009 Brown University (physics): “Four-dimensional wall-crossing via three-dimensional field theory.” March 2009 University of California-Berkeley (physics): “Four-dimensional wall-crossing via three-dimensional field theory”, “Wall-crossing and fivebranes” (two talks). March 2009 California Institute of Technology (physics): “BPS wall-crossing in Seiberg-Witten theory via dimensional reduction.” March 2009 Kavli Institute for Theoretical Physics (Mini-Conference on Dualities in Physics and Mathematics): “Wall-crossing in moduli spaces of Higgs bundles.” February 2009 Brandeis University: “Four-dimensional wall-crossing from three-dimensional field theory.” January 2009 Simons Center for Mathematics and Physics (Workshop on Derived Geometry): “Wall-crossing in moduli spaces of Higgs bundles.” December 2008 Northeastern University (mathematics): “BPS wall-crossing and hyperkahler¨ geometry.” November 2008 Massachusetts Institute of Technology (mathematics): “BPS wall-crossing and hyperkahler¨ geometry.” October 2008 Massachusetts Institute of Technology (physics): “Four-dimensional wall-crossing from three-dimensional field theory.” October 2008 University of Texas, Austin (mathematics): “BPS wall-crossing and hyperkahler¨ geometry.” October 2008 University of Texas, Austin (physics): “BPS wall-crossing and hyperkahler¨ geometry.” September 2008 Banff (Workshop on Number Theory and Physics at the Crossroads): “Hyperkahler¨ geometry and BPS wall-crossing.” June 2008 Kobe University (mathematics): “Comments on BPS wall-crossing in two and four dimensions.” June 2008 Institute for Physics and Mathematics of the Universe, Tokyo: “Wall-crossing in two and four dimensions.” June 2008 Institute for Physics and Mathematics of the Universe, Tokyo (colloquium): “Crossing the wall: overcoming an obstruction in quantum field theory and string theory.” June 2008 Stanford University (physics): “BPS wall-crossing in two and four dimensions.” May 2008 Oxford University (mathematics): “Wall-crossing in two and four dimensions.” May 2008 Imperial College, London (physics): “Comments on BPS wall-crossing in two and four dimensions.” May 2008 ETH Zurich (physics): “Wall-crossing in two and four dimensions.” May 2008 Pennsylvania State University (Workshop on Black Holes in Fundamental Physics): “Asymptotic quasinormal mode frequencies.” April 2008 Warwick (School and Workshop on the Geometry and Integrability of Topological QFT and String Theory): “Wall-crossing in two and four dimensions.” February 2008 Northwestern University (mathematics): “Some comments on the holomorphic anomaly for closed and open strings.” December 2007 California Institute of Technology (physics): “Comments on the holomorphic anomaly for closed and open strings.” December 2007 Harvard University (physics): “Some comments on the holomorphic anomaly for closed and open strings.” August 2007 Stony Brook (Simons Workshop on Mathematics and Physics): “Quaternionic geometry, black holes and the topological string.” July 2007 Patras (Mideast String Meeting): “Quaternionic geometry, black holes and the topological string.” July 2007 Greater Paris string theory seminar (physics): “Quaternionic geometry, black holes and the topological string.” April 2007 University of California-Davis (physics): “Quaternionic geometry, supersymmetric black holes and topological string theory.” April 2007 University of California-Berkeley (physics): “Quaternionic geometry, BPS attractor flows, and the topological string.” December 2006 University of Pennsylvania (mathematics): “The holomorphic anomaly equation, reformulated and extended.” December 2006 Stony Brook University (physics): “The holomorphic anomaly revisited and extended.”

Students I have supervised reading courses for:

Jason Jo Alice Mark

I have served or am serving on the doctoral committees for:

Mike Williams Mio Alter Travis Mandel Aswin Balasubramanian