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Jan Manschot Associate 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 |
Upcoming activities:
“Algebraic
Structures in Gauge Theory and Geometry”, 1-5 July 2024, Lorentz Center
Current teaching
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Michaelmas
Term: Mechanics
(MAU11400)
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Hilary
Term: Quantum Field Theory (MAU44400)
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Projects
MAU44P00
Past teaching
·
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.
Research interests
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My research considers
fundamental aspects of quantum field theory, gravity
and string theory. I am in particular interested in
the dynamics of non-perturbative objects of these theories, such as
instantons, monopoles, black holes and D-branes. My research is supported in
part by the Irish Research Council. |
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Recent preprints and publications
1.
"Four-Manifold
Invariants and Donaldson-Witten 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 TT-deformation", 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 D4-D2-D0 indices on
compact Calabi-Yau 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 four-manifolds", 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,
"Vafa-Witten invariants from exceptional
collections", arXiv:2004.14466
14.
with
G. W. Moore and X. Zhang, "Effective gravitational couplings of
four-dimensional N=2 supersymmetric gauge theories", arXiv:1912.04091
15.
with
G. Korpas, G. W. Moore, I. Nidaiev,
"Mocking the u-plane integral", arXiv:1910.13410
16.
with
S. Alexandrov, B. Pioline, "S-duality and
refined BPS indices", arXiv:1910.03098
17.
with
G. Korpas, G. W. Moore, I. Nidaiev,
"Renormalization and BRST symmetry in Donaldson-Witten theory", arXiv:1901.03540
18.
"Vafa-Witten theory and iterated integrals of modular
forms", arXiv:1709.10098
19.
with
G. Korpas, "Donaldson-Witten theory and
indefinite theta functions", arXiv:1707.06235
20.
with
S. Alexandrov, S. Banerjee, B. Pioline,
"Multiple D3-instantons 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 D3-instantons and modular forms I", arXiv:1605.05945
24.
with
K. Bringmann, and L. Rolen,
"Identities for generalized Appell functions and
the blow-up formula", arXiv:1510.00630
25.
with
M. Z. Rolón, "The asymptotic profile of χy-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 K-Theoretic 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 Four-Dimensional Gauge Theories 2022, "Path integral derivations of Vafa-Witten and K-theoretic Donaldson invariants", video
6.
Dual
Mystery Channel 2022, "Modular bootstrap for
D4-D2-D0 indices on compact Calabi-Yau threefolds", video
7.
Simons
Collaboration on Special Holonomy in Geometry, Analysis and Physics,
"Topological correlators of N=2* Yang-Mills theory", video
8.
Lisbon
2021, "Scaling Black Holes and Modularity", video,
slides
9.
QASTM
Zoominar series 2021, "Topological correlators
of N=2* Yang-Mills theory", video, slides
10.
Sheffield
2021, "Topological gauge theory, quivers and flow trees", video,
slides
11.
Lisbon
seminar 2021, "Vafa-Witten theory and
quivers", video
12.
Trinity
College Open Day 2020, video
slides
13.
ICTP
2019, "Mocking the u-plane 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
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: 20 June 2024