Andrew Neitzke

About Me

I am a member of the Geometry Group at UT Austin. Here is my curriculum vitae, current as of 2 Feb 2014.

I can be reached at:
The University of Texas at Austin
Mathematics Dept. RLM 8.100
Attn: Andrew Neitzke
2515 Speedway Stop C1200
Austin, TX 78712-1202

Office: RLM 9.134 (book an appointment)

neitzke@math.utexas.edu

My surname is most correctly pronounced "Night-Ski".
Headshot Spectral network movies

Teaching

All listed courses are at UT Austin.

Spring 2014. Math 392C (Complex Geometry) Course page
Fall 2013. Math 365C (Real Analysis) Course page
Spring 2013. Math 392C (Riemannian Geometry) Course page
Fall 2012. Math 408L (Integral Calculus) Course page
Spring 2012. Math 392C (Applications of Quantum Field Theory to Geometry) Course page
Fall 2011. Math 361K (Introduction to Real Analysis) Course page
Spring 2011. Math 392C (Complex Geometry) Course page
Fall 2010. Math 340L (Matrices and Matrix Calculations) Course page
Spring 2010. Math 408L (Integral Calculus) Course page

Papers

I work on problems in string theory and supersymmetric field theory, usually ones which have some overlap with geometry. My most recent papers/preprints are (click [+] for a short account):

Hyperkahler sigma model and field theory on Gibbons-Hawking spaces. With Anindya Dey. 1401.0349 [ ]
Spectral networks and Fenchel-Nielsen coordinates. With Lotte Hollands. 1312.2979 [ ]
Line defects, tropicalization, and multi-centered quiver quantum mechanics. With Clay Cordova. 1308.6829 [ ]
Notes on a new construction of hyperkahler metrics. 1308.2198 [ ]
Wild wall crossing and BPS giants. With Dmitry Galakhov, Pietro Longhi, Tom Mainiero, and Gregory W. Moore. 1305.5454 [ ]
Spectral networks and snakes. With Davide Gaiotto and Gregory Moore. Annales Henri Poincare. 1209.0866 [+]
Spectral networks. With Davide Gaiotto and Gregory Moore. Annales Henri Poincare. 1204.4824 [+]
On a hyperholomorphic line bundle over the Coulomb branch. 1110.1619 [+]
Wall-Crossing in Coupled 2d-4d Systems. With Davide Gaiotto and Gregory Moore. JHEP. 1103.2598 [+]
R-twisting and 4d/2d Correspondences. With Sergio Cecotti and Cumrun Vafa. 1006.3435 [+]
Framed BPS States. With Davide Gaiotto and Gregory Moore. ATMP (to appear). 1006.0146 [+]
Wall-crossing, Hitchin Systems, and the WKB Approximation. With Davide Gaiotto and Gregory Moore. Adv Math. 0907.3987 [+]
A note on conformal symmetry in projective superspace. With Radu Ionas. 0811.2048 [+]
Argyres-Seiberg duality and the Higgs branch. With Davide Gaiotto and Yuji Tachikawa. Commun. Math. Phys. 294 (2010) 389-410. 0810.4541 [+]
Four-dimensional wall-crossing via three-dimensional field theory. With Davide Gaiotto and Gregory Moore. Commun. Math. Phys. 299 (2010) 163-224. 0807.4723 [+]
Background Independence and the Open Topological String Wavefunction. With Johannes Walcher. In "From Hodge theory to integrability and TQFT" (2008), American Mathematical Society. 0709.2390 [+]
Asymptotic Spectroscopy of Rotating Black Holes. With Uri Keshet. Phys. Rev. D78 (2008) 044006. 0709.1532 [+]

Talks

Since I give most of my talks on the blackboard, I have relatively few sets of Web-ready notes (but the situation is improving as more talks are recorded). Here is what I do have:

Open string mirror symmetry and Hitchin systems. Miami, January 2014. Notes
Spectral networks in 2 and 3 dimensions. String-Math, June 2013. Notes (with animations), Video
On the utility of the equation 2+4=6 in supersymmetric quantum field theory. Austin (physics colloquium), February 2013. Notes
Introduction to wall-crossing (through spaces of quadratic differentials). IHES, November 2011. Notes, Video
Spectral networks. KITP, August 2011. Notes, Video
A 2d-4d wall-crossing formula. Cetraro, July 2011. Slides
A 2d-4d wall-crossing formula. String-Math, UPenn, June 2011. Slides, Video
Lectures on wall-crossing (introductory). Jeju, South Korea, January 2011. Transcript: 1, 2, 3
Hitchin systems and enumerative invariants. Michigan, December 2010. Slides
2d-4d wall-crossing and hyperholomorphic bundles. DESY, December 2010. Slides
4d and 2d-4d wall-crossing. Simons Center for Geometry and Physics, August 2010. Video
BPS wall-crossing, field theory and hyperkahler geometry. Oxford, June 2009. Notes
Asymptotic quasinormal mode frequencies. Penn State, May 2008. Notes
An idiosyncratic view of the holomorphic anomaly of the topological string. Northwestern, February 2008. Notes
Quantum Maxwell theory. IAS, September 2007. Notes

Expository notes

In various stages of completion, no warranty express or implied. Feedback very much appreciated.

Comparing signs in wall-crossing formulas. (Last update: 14 Jan 2014) Draft
Cluster-like coordinates in supersymmetric field theory. (Last update: 13 Jan 2014) Draft
Hitchin systems in N=2 field theory. (Last update: 25 Nov 2013) Draft
What is a BPS state? (Last update: 19 Aug 2012) Draft

Mathematica files

Absolutely undocumented at the moment, but questions are welcome.

The CurvesGraphics6 notebook by Gianluca Gorni is available here; this notebook contains instructions on how to generate the file CurvesGraphics6.m, which is used by the spectral network notebook below.

Notebook for plotting spectral networks. (Last update: 15 Feb 2014) Notebook