
Jan Manschot Associate Professor in Theoretical Physics Director of Undergraduate Teaching and Learning FTCD 
Contact details School
of Mathematics Trinity
College Dublin
2 Ireland 
Hamilton
Building Office:
2.5 Telephone:
+353 1 896 8516 Email:
manschot AT maths.tcd.ie 
Upcoming activities:
“Algebraic
Structures in Gauge Theory and Geometry”, 15 July 2024, Lorentz Center
Current teaching
·
Michaelmas
Term: Mechanics
(MAU11400)
·
Hilary
Term: Quantum Field Theory (MAU44400)
·
Projects
MAU44P00
Past teaching
·
Michaelmas
Term: Mechanics (MAU11400)
·
Hilary
term: Mechanics
(MAU11400) , Quantum
Mechanics II, Calculus on Manifolds
·
Projects
in theoretical physics and/or mathematics: MAU44M00.
Research interests
My research considers
fundamental aspects of quantum field theory, gravity
and string theory. I am in particular interested in
the dynamics of nonperturbative objects of these theories, such as
instantons, monopoles, black holes and Dbranes. My research is supported in
part by the Irish Research Council. 

Recent preprints and publications
1.
"FourManifold
Invariants and DonaldsonWitten Theory”, arXiv:2312.14709
2.
with
J. Aspman and E. Furrer,
"Topological twists of massive SQCD, Part II", arXiv:2312.11616
Part I & II combined is
available here
3.
with
A. Chattopadhyaya, "Numerical experiments on
coefficients of instanton partition functions", arXiv:2301.06711
4.
with
J. Aspman, "Decay channels for double extremal
black holes in four dimensions", arXiv:2212.10645
5.
with
S. Mondal, "Supersymmetric black holes and TTdeformation", arXiv:2207.01462
6.
with
J. Aspman and E. Furrer,
"Topological twists of massive SQCD, Part I", arXiv:2206.08943
7.
with
S. Alexandrov, N. Gaddam, B. Pioline.
"Modular bootstrap for D4D2D0 indices on
compact CalabiYau threefolds",
arXiv:2204.02207
8.
with
J. Aspman and E. Furrer,
"Four flavors, triality and bimodular
forms", arXiv:2110.11969
9.
with
A. Chattopadhyaya and S. Mondal, "Scaling Black
Holes and Modularity", arXiv:2110.05504
10.
with
J. Aspman and E. Furrer,
"Cutting and gluing with running couplings in N=2 QCD", arXiv:2107.04600
11.
with
G. W. Moore, "Topological correlators of SU(2),
N=2* SYM on fourmanifolds", arXiv:2104.06492
12.
with
J. Aspman and E. Furrer,
"Elliptic Loci of SU(3) Vacua",
arXiv:2010.06598
13.
with
G. Beaujard and B. Pioline,
"VafaWitten invariants from exceptional
collections", arXiv:2004.14466
14.
with
G. W. Moore and X. Zhang, "Effective gravitational couplings of
fourdimensional N=2 supersymmetric gauge theories", arXiv:1912.04091
15.
with
G. Korpas, G. W. Moore, I. Nidaiev,
"Mocking the uplane integral", arXiv:1910.13410
16.
with
S. Alexandrov, B. Pioline, "Sduality and
refined BPS indices", arXiv:1910.03098
17.
with
G. Korpas, G. W. Moore, I. Nidaiev,
"Renormalization and BRST symmetry in DonaldsonWitten theory", arXiv:1901.03540
18.
"VafaWitten theory and iterated integrals of modular
forms", arXiv:1709.10098
19.
with
G. Korpas, "DonaldsonWitten theory and
indefinite theta functions", arXiv:1707.06235
20.
with
S. Alexandrov, S. Banerjee, B. Pioline,
"Multiple D3instantons and modular forms II", arXiv:1702.05497
21.
with
S. Mozgovoy, "Intersection cohomology
of moduli spaces of sheaves on surfaces", arXiv:1612.07620
22.
with
S. Alexandrov, S. Banerjee, B. Pioline,
"Indefinite theta series and generalized error functions", arXiv:1606.05495
23.
with
S. Alexandrov, S. Banerjee, B. Pioline,
"Multiple D3instantons and modular forms I", arXiv:1605.05945
24.
with
K. Bringmann, and L. Rolen,
"Identities for generalized Appell functions and
the blowup formula", arXiv:1510.00630
25.
with
M. Z. Rolón, "The asymptotic profile of χ_{y}genera of Hilbert schemes of points on
K3 surfaces", arXiv:1411.1093
26.
"Sheaves
on P2 and Generalized Appell Functions", arXiv:1407.7785
27.
“The
Coulomb Branch Formula for Quiver Moduli Spaces”, arXiv:1404.7154
The accompanying CoulombHiggs Mathematics package is
available here.
See for a complete list for example:
inspire or scholar.google.com
Recordings
1.
Galileo
Galilei Institute, Florence, BPS Dynamics and Quantum
Mathematics, “Path Integral Derivations of KTheoretic Donaldson Invariants”, video
2.
Joint
Mathematics Meeting 2024, San Francisco, “Mock Modular Forms and Instanton
Partition Functions”, slides
3.
Isaac
Newton Institute, Cambridge, Number Theory, Machine Learning and Quantum Black
holes 2023, “Black Holes, TTbar Deformed Conformal
Field Theory, and Weak Gravity”, video
4.
Strings
in Seoul 2023, “Topological correlators of massive N=2SQCD and 5d N=1 YM”, video
5.
MSRI
New FourDimensional Gauge Theories 2022, "Path integral derivations of VafaWitten and Ktheoretic Donaldson invariants", video
6.
Dual
Mystery Channel 2022, "Modular bootstrap for
D4D2D0 indices on compact CalabiYau threefolds", video
7.
Simons
Collaboration on Special Holonomy in Geometry, Analysis and Physics,
"Topological correlators of N=2* YangMills theory", video
8.
Lisbon
2021, "Scaling Black Holes and Modularity", video,
slides
9.
QASTM
Zoominar series 2021, "Topological correlators
of N=2* YangMills theory", video, slides
10.
Sheffield
2021, "Topological gauge theory, quivers and flow trees", video,
slides
11.
Lisbon
seminar 2021, "VafaWitten theory and
quivers", video
12.
Trinity
College Open Day 2020, video
slides
13.
ICTP
2019, "Mocking the uplane integral and Donaldson invariants", Part 1, Part 2,
14.
Lectures
at SCGP 2014, 2016 and 2019 link
15.
Strings
2013, "BPS bound states and quivers", video.
Past activities
VerlindeVerlinde Symposium, 1415 July 2022
IrishFrench Ulysses Collaboration MiniWorkshop, 30 May 
1 June 2022
Irish Theoretical Physics 2022,
2527 May 2022
Quantum Gravity and
Modularity, 314 May 2021
Gauge
Theory and Virtual Invariants, 1317 May 2019
Indefinite Theta Functions and
Applications in Physics & Geometry, 69 June 2017
Journées
de Physique Mathématique Lyon "BPS states,
Hitchin Systems and Quivers", 35 September 2014, proceedings are
published in Confluentes Mathematici
Last
update: 20 June 2024