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Jan Manschot Professor in Theoretical Physics Director of Undergraduate Teaching and Learning FTCD |
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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 |
Current teaching
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Michaelmas
Term: Mechanics
(MAU11400)
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Hilary
Term: Advanced Quantum Field Theory (MAP50004)
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Projects
MAU44P00
Past teaching
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Michaelmas
Term: Mechanics
(MAU11400)
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Hilary
term: Mechanics
(MAU11400) , Quantum
Mechanics II, Calculus on Manifolds
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Projects
in theoretical physics and/or mathematics: MAU44M00.
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Recent preprints and publications
1.
with H. Kim, G. W. Moore, R. Tao and X.
Zhang, “Path Integral Derivations Of K-Theoretic Donaldson Invariants”, arXiv:2509.23042
2.
with
Z.-Z. Wang, “The iε-Prescription for
String Amplitudes and Regularized Modular Integrals”, arXiv:2411.02517
3.
"Four-Manifold
Invariants and Donaldson-Witten Theory”, arXiv:2312.14709
4.
with
J. Aspman and E. Furrer, "Topological twists of massive SQCD, Part
II", arXiv:2312.11616
Part I & II combined is
available here
5.
with
A. Chattopadhyaya, "Numerical experiments on coefficients of instanton
partition functions", arXiv:2301.06711
6.
with
J. Aspman, "Decay channels for double extremal black holes in four
dimensions", arXiv:2212.10645
7.
with
S. Mondal, "Supersymmetric black holes and TT-deformation", arXiv:2207.01462
8.
with
J. Aspman and E. Furrer, "Topological twists of massive SQCD, Part
I", arXiv:2206.08943
9.
with
S. Alexandrov, N. Gaddam, B. Pioline. "Modular bootstrap for D4-D2-D0 indices on compact Calabi-Yau threefolds", arXiv:2204.02207
10.
with
J. Aspman and E. Furrer, "Four flavors, triality
and bimodular forms", arXiv:2110.11969
11.
with
A. Chattopadhyaya and S. Mondal, "Scaling Black Holes and
Modularity", arXiv:2110.05504
12.
with
J. Aspman and E. Furrer, "Cutting and gluing with running couplings in N=2
QCD", arXiv:2107.04600
13.
with
G. W. Moore, "Topological correlators of SU(2),
N=2* SYM on four-manifolds", arXiv:2104.06492
14.
with
J. Aspman and E. Furrer, "Elliptic Loci of SU(3) Vacua", arXiv:2010.06598
15.
with
G. Beaujard and B. Pioline,
"Vafa-Witten invariants from exceptional collections", arXiv:2004.14466
16.
with
G. W. Moore and X. Zhang, "Effective gravitational couplings of
four-dimensional N=2 supersymmetric gauge theories", arXiv:1912.04091
17.
with
G. Korpas, G. W. Moore, I. Nidaiev,
"Mocking the u-plane integral", arXiv:1910.13410
18.
with
S. Alexandrov, B. Pioline, "S-duality and
refined BPS indices", arXiv:1910.03098
19.
with
G. Korpas, G. W. Moore, I. Nidaiev,
"Renormalization and BRST symmetry in Donaldson-Witten theory", arXiv:1901.03540
20.
"Vafa-Witten
theory and iterated integrals of modular forms", arXiv:1709.10098
21.
with
G. Korpas, "Donaldson-Witten theory and
indefinite theta functions", arXiv:1707.06235
22.
with
S. Alexandrov, S. Banerjee, B. Pioline,
"Multiple D3-instantons and modular forms II", arXiv:1702.05497
23.
with
S. Mozgovoy, "Intersection cohomology
of moduli spaces of sheaves on surfaces", arXiv:1612.07620
24.
with
S. Alexandrov, S. Banerjee, B. Pioline,
"Indefinite theta series and generalized error functions", arXiv:1606.05495
25.
with
S. Alexandrov, S. Banerjee, B. Pioline,
"Multiple D3-instantons and modular forms I", arXiv:1605.05945
26.
with
K. Bringmann, and L. Rolen, "Identities for generalized Appell functions
and the blow-up formula", arXiv:1510.00630
27.
with
M. Z. Rolón, "The asymptotic profile of χy-genera
of Hilbert schemes of points on K3 surfaces", arXiv:1411.1093
28.
"Sheaves
on P2 and Generalized Appell Functions", arXiv:1407.7785
29.
“The
Coulomb Branch Formula for Quiver Moduli Spaces”, arXiv:1404.7154
The accompanying CoulombHiggs Mathematics package is
available here.
30.
Lecture Notes
“Quivers and BPS Bound States”, Winter School on Mathematical Physics 2014, Les
Diablerets
See for a complete list for example:
inspire or scholar.google.com
Recordings and slides
1.
Amherst
Lectures: Lectures Notes
2.
“The
iε-Prescription for String Amplitudes and Regularized Modular Integrals”, String
Theory as a Bridge Between Gauge Theory and Quantum Gravity, 17 February 2025,
Rome, slides
3.
“Topological
correlators of massive N=2 SQCD and 5d N=1 SYM on S1”, Algebra and Quantum
Geometry of BPS Quivers, 22 January 2025, Les Diablerets,
slides
4.
Mittag-Leffler
Institute, Djursholm, Enumerative Invariants, Quantum Fields and String Theory
Correspondences, “Four-Manifold Invariants and Gauge Theory”, video
5.
Galileo
Galilei Institute, Florence, BPS Dynamics and Quantum Mathematics, “Path
Integral Derivations of K-Theoretic Donaldson Invariants”, video
6.
Joint
Mathematics Meeting 2024, San Francisco, “Mock Modular Forms and Instanton
Partition Functions”, slides
7.
Isaac
Newton Institute, Cambridge, Number Theory, Machine Learning and Quantum Black
holes 2023, “Black Holes, TTbar Deformed Conformal
Field Theory, and Weak Gravity”, video
8.
Strings
in Seoul 2023, “Topological correlators of massive N=2SQCD and 5d N=1 YM”, video
9.
MSRI
New Four-Dimensional Gauge Theories 2022, "Path integral derivations of
Vafa-Witten and K-theoretic Donaldson invariants", video
10.
Dual
Mystery Channel 2022, "Modular bootstrap for
D4-D2-D0 indices on compact Calabi-Yau threefolds", video
11.
Simons
Collaboration on Special Holonomy in Geometry, Analysis and Physics,
"Topological correlators of N=2* Yang-Mills theory", video
12.
Lisbon
2021, "Scaling Black Holes and Modularity", video,
slides
13.
QASTM
Zoominar series 2021, "Topological correlators
of N=2* Yang-Mills theory", video, slides
14.
Sheffield
2021, "Topological gauge theory, quivers and flow trees", video,
slides
15.
Lisbon
seminar 2021, "Vafa-Witten theory and quivers", video
16.
Trinity
College Open Day 2020, video
slides
17.
ICTP
2019, "Mocking the u-plane integral and Donaldson invariants", Part 1, Part 2,
18.
Lectures
at SCGP 2014, 2016 and 2019 link
19.
Strings
2013, "BPS bound states and quivers", video.
Past activities
Algebraic
Structures in Gauge Theory and Geometry, 1-5 July 2024, Lorentz Center
Verlinde-Verlinde
Symposium, 14-15 July 2022
Irish-French Ulysses Collaboration Mini-Workshop, 30 May -
1 June 2022
Irish Theoretical Physics 2022,
25-27 May 2022
Quantum Gravity and
Modularity, 3-14 May 2021
Gauge
Theory and Virtual Invariants, 13-17 May 2019
Indefinite Theta Functions and
Applications in Physics & Geometry, 6-9 June 2017
Journées
de Physique Mathématique Lyon "BPS states,
Hitchin Systems and Quivers", 3-5 September 2014, proceedings are
published in Confluentes Mathematici
Last
update: 30 September 2025