I can be reached at:

Department of Mathematics

Attn: Andrew Neitzke

PO Box 208283

New Haven, CT 06520-8283

Mailcode: 376

Office: KT (Kline Tower) 913

andrew.neitzke@yale.edu

Attn: Andrew Neitzke

PO Box 208283

New Haven, CT 06520-8283

Mailcode: 376

Office: KT (Kline Tower) 913

andrew.neitzke@yale.edu

My surname is most correctly pronounced "Night-Ski".

Fall 2024.
Math 302
(Vector Analysis and Integration on Manifolds)

Spring 2023.
Math 255
(Analysis 1)

Fall 2022.
Math 302
(Vector Analysis and Integration on Manifolds)

Spring 2022.
Math 706
(Geometry of Stokes Phenomena)

Fall 2021.
Math 302
(Vector Analysis and Integration on Manifolds)

Spring 2021.
Math 435
(Differential Geometry)

Fall 2020.
Math 250
(Vector Analysis)

Spring 2020.
Math 225
(Linear Algebra and Matrix Theory)

A new construction of c = 1 Virasoro blocks.
2407.04483
[ ]

WKB asymptotics of Stokes matrices, spectral curves and rhombus inequalities.
2403.17906
[ ]

Commuting line defects at q^N = 1.
2307.14429
[ ]

3d spectral networks and classical Chern-Simons theory.
Surveys in Differential Geometry.
2208.07420
[ ]

Exponential Networks, WKB and the Topological String.
SIGMA.
2201.11594
[ ]

The quantum UV-IR map for line defects in gl(3)-type class S theories.
2112.03775
[ ]

Exact WKB methods in SU(2) Nf=1.
JHEP.
2105.03777
[ ]

Deformations of surface defect moduli spaces.
JHEP.
2011.01970
[ ]

Factorized class S theories and surface defects.
2010.06722
[ ]

Opers and nonabelian Hodge: numerical studies.
Experiment. Math.
2007.00503
[ ]

The dilogarithm and abelian Chern-Simons.
J. Diff. Geom.
2006.12565
[ ]

q-nonabelianization for line defects.
JHEP.
2002.08382
[ ]

Exact WKB and abelianization for the T3 equation.
Commun. Math. Phys.
1906.04271
[ ]

BPS states in the Minahan-Nemeschansky E7 theory.
JHEP.
1905.09879
[ ]

On the BPS Spectrum of the Rank-1 Minahan-Nemeschansky Theories.
JHEP.
1901.09929
[ ]

Secondary products in supersymmetric field theory.
Annales Henri Poincare.
1809.00009
[ ]

Asymptotics of Hitchin's metric on the Hitchin section.
Commun. Math. Phys.
1802.07200
[ ]

Moduli of Higgs bundles on CP^1 with C*-actions.
Math. Proc. Camb. Phil. Soc.
1709.06142
[ ]

Line defect Schur indices, Verlinde algebras and U(1)_r fixed points.
JHEP.
1708.05323
[ ]

Integral iterations for harmonic maps.
1704.01522
[ ]

From the Hitchin section to opers through nonabelian Hodge.
J. Diff. Geom.
1607.02172
[ ]

BPS states in the Minahan-Nemeschansky E6 theory.
Commun. Math. Phys.
1607.01743
[ ]

Cluster-like coordinates in supersymmetric field theory.
Proceedings of the National Academy of Sciences.
PNAS link
[ ]

Notes on a new construction of hyperkahler metrics.
In proceedings of the conference *Mirror Symmetry & Tropical Geometry*, Cetraro 2011.
1308.2198
[ ]

Four-dimensional wall-crossing via three-dimensional field theory.
Commun. Math. Phys. 299 (2010) 163-224.
0807.4723
[+]

Background Independence and the Open Topological String Wavefunction.
In "From Hodge theory to integrability and TQFT" (2008), American Mathematical Society.
0709.2390
[+]

For a fuller list of my papers, including older ones, see
inSPIRE.
Lectures on spectral networks.
Moscow, 2021.
Notes

Protected spin characters, link invariants and spectral networks.
String-Math (online), 2020.
Notes, Video

An update on hyperkahler metrics on moduli of Higgs bundles.
Moduli of special holonomy metrics and their periods (Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics) (online), 2020.
Video

PCMI lectures on BPS states and spectral networks.
Park City Mathematics Institute, 2019.
Notes

WKB and abelianization.
Austin, 2018.
Notes

Precision studies of nonabelian Hodge for irregular Higgs bundles on CP^1.
GEAR retreat, 2017.
Notes, Video

Abelianization and Chern-Simons theory.
QGM Aarhus, 2017.
Notes

Abelianization, WKB and Chern-Simons theory.
Stanford, November 2016.
Notes

Hitchin systems, spectral networks and noncommutative clusters.
MSRI, March 2016.
Notes

WKB and the conformal limit.
Montreal, January 2016.
Notes

Some new geometric applications of quantum field theory.
Bonn (Panorama of Mathematics), October 2015.
Slides

A smooth R^3 index for four-dimensional N=2 theories.
Princeton (STRINGS 2014), June 2014.
Slides

Spectral networks and their uses.
Pisa, June 2014.
Notes

Gluing construction for a hyperholomorphic line bundle.
UC Davis, May 2014.
Notes

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

A 2d-4d wall-crossing formula.
Cetraro, July 2011.
Slides

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

On the metrics on moduli spaces of Higgs bundles (2024, Simons).
(Last update: 20 Jul 2024)
Draft

Geometry of Stokes phenomena (notes from 2022 course).
(Last update: 18 Jun 2024)
Draft

On the metrics on moduli spaces of Higgs bundles (2018, Gottingen).
(Last update: 29 Nov 2021)
Draft

Moduli of Higgs bundles (notes from 2016 course).
(Last update: 28 Nov 2021)
Draft

Comparing signs in wall-crossing formulas.
(Last update: 17 May 2021)
Draft

What is a BPS state?
(Last update: 17 May 2021)
Draft

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: 17 May 2021)
Notebook