- Mirror symmetry and D-branes
- Global constraints on string compactifications
- Topological field and string theory
- Applications in geometry, topology and algebra
- Hodge theory
- Real enumerative geometry
- Theories of knot homology
While our web site has
relocated,
these pages will be left in
the status quo April 2023 for future perusal.
Research Interests
Publications
Back to 2007, with links to the arXiv:
- with Richard Eager and Ingmar Saberi: Nilpotence varieties
- with Albert Schwarz and Vadim Vologodsky: Integrality of framing and geometric origin of 2-functions
- with Richard Eager and Sam Selmani: Exponential networks and representations of quivers
- with Marc-Antoine Fiset: Bounding the heat trace of a Calabi-Yau manifold
- with Daniel Krefl: B-model approaches to instanton counting
- with Robert Jefferson: Monodromy of inhomogeneous Picard-Fuchs equations
- with Albert Schwarz and Vadim Vologodsky: Framing the Di-Logarithm (over Z)
- with Daniel Krefl: ABCD of Beta Ensembles and Topological Strings
- with Guillaume Laporte: Monodromy of an inhomogeneous Picard-Fuchs equation
- On the arithmetic of D-brane superpotentials: Lines and conics on the mirror quintic
- with Shmuel Elitzur, Yaron Oz, and Eliezer Rabinovici: Open/Closed Topological CP1 Sigma Model Revisited
- with Daniel Krefl: Shift versus Extension in Refined Partition Functions
- with Daniel Krefl: Extended Holomorphic Anomaly in Gauge Theory
- with Hans Jockers and Peter Mayr: On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
- with Manfred Herbst: On the unipotence of autoequivalences of toric complete intersection Calabi-Yau categories
- with Daniel Krefl and Sara Pasquetti: The Real Topological Vertex at Work
- Calculations for Mirror Symmetry with D-branes
- with Daniel Krefl: The Real Topological String on a local Calabi-Yau
- with Daniel Krefl: Real Mirror Symmetry for One-Parameter Hypersurfaces
- Evidence for Tadpole Cancellation in the Topological String
- Open Strings and Extended Mirror Symmetry (a review)
- with David Morrison: D-branes and Normal Functions
- with Andrew Neitzke: Background Independence and the Open Topological String Wavefunction
- with Katrin Becker and Melanie Becker: Runaway in the Landscape
- Extended Holomorphic Anomaly and Loop Amplitudes in Open Topological String
Full bibliographic data for (almost) all publications (via inSPIRE)
Theses Supervised
Doctoral Theses
- “Analytic Properties of s-Functions” Dr. Luis Felipe Müller, 2021 Heidelberg University Mathematics
- “Exponential networks and representations of Quivers” Dr. Sam Selmani, 2017 McGill University/ Heidelberg University Physics
- “Extended Frobenius Manifolds and the Open WDVV Equations” Dr. Adam Alcolado, 2017 McGill University / Heidelberg University Mathematics
- “Real Mirror Symmetry and The Real Topological String” Dr. Daniel Krefl, 2009 LMU Physics (Co-supervision)
Master theses
- “Homological AdS-CFT” Talha Ersoy, 2023 Heidelberg University Physics
- “Constructible Factorization Algebras for Field Theories” Markus Zetto, 2023 Heidelberg University Physics
- “D-brane Bound States, Hilbert Schemes and Exponential Networks” Raphael Senghaas 2023 Heidelberg University Physics
- “Duality between Two Physical Approaches to Knot Homology” Jonas Cassel, 2022 Heidelberg University Physics
- “Perturbative Chern-Simons Theory from Pseudoholomorphic Discs” Simon Heuveline, 2021 Heidelberg University Mathematics
- “Haag’s Theorem revisited” Josephine Grau, 2021 Heidelberg University Mathematics
- “Formulation of Supersymmetric Theories using Integral Forms” Andrea Grossutti, 2021 Università degli studi di Padova / Heidelberg University Physics (Co-supervision)
- “Higher Gauge Theory and its Applications” Benjamin Haake, 2021 Heidelberg University Physics
- “Superconformal Multiplets in d=4 Spacetime Dimensions” Steffen Schmidt, 2021 Heidelberg University Physics
- “The BV Formalism, \(L_\infty\)-Algebras and their Applications to Supersymmetry and Chern-Simons Theory” Fabian Hahner, 2020 Heidelberg University Physics
- “Holomorphic linking on an Elliptic Curve” Fabio Schlindwein, 2020 Heidelberg University Mathematics
- “The exceptional Superconformal Algebra D(2, 1; α): Construction of Supermultiplets via Nilpotence Varieties and harmonic Superspace” Joan Aitor Austrich Olivares, 2019 Heidelberg University Physics (Co-supervision)
- “The Geometry of Supermoduli Space and its Relation to Perturbative Superstring Theory” Lukas Hahn, 2018 Heidelberg University Physics
- “A survey of Defects in N = 4 Supersymmetric Yang –Mills Theory” Michael Bleher, 2017 Heidelberg University Physics
- “Bounding the heat trace of a Calabi Yau manifold” Marc-Antoine Fiset, 2015 McGill Physics
- “Enumeration of Real Lines on Smooth Cubic Surfaces” Adam Alcolado, 2013 McGill Mathematics
- “Lines on one-parameter calabi-yau hypersurfaces” Robert Jefferson, 2013 McGill Physics
Bachelor theses
- “Propositional Lattices in Quantum Mechanics - Axioms and their Physical Interpretation" Moritz Merz, 2022 Heidelberg University Physics
- “Understanding classical field theories on spacetime with boundary" Mario Bühler, 2022 Heidelberg University Physics
- “The Three-Body Problem and the Shape Space" Niels Gehrig, 2021 Heidelberg University Physics (Co-supervision)
- “Khovanov Homology" Jonas Cassel, 2021 Heidelberg University Mathematics
- “Reformulation of a No-Go Theorem for regular Super-Poincaré Off-Shell Representations in various Dimensions and how to employ Harmonic Superspace to partially circumvent it" Sebastian Benedikt Flad, 2021 Heidelberg University Mathematics
- “Physical Discussion of the Singularity Theorems in Special Relativity" Eric Jacob, 2020 Heidelberg University Physics
- “A mathematical Formalism for Entanglement Entropy" Cord Lampe, 2020 Heidelberg University Physics
- “Non-affine Landau-Ginzburg Models and Matrix Factorizations" Markus Zetto, 2020 Heidelberg University Physics
- “Consistent Kaluza-Klein Dimensional Reduction of Variational Problems" Alexander Kunkel, 2020 Heidelberg University Physics
- “Konstruktionen von Instanton-Lösungen mit Ausblick auf ADHM” Marcel Renkert, 2020 Heidelberg University Physics
- “Quantization of the Free 2-Form Gauge Field” Hannes Keppler, 2019 Heidelberg University Physics
- “Cherns-Simons Theory and Khovanov Homology” Niklas Merk, 2019 Heidelberg University Physics
- “Conformal Symmetry in the Sachdev-Ye-Kitaev Model” Steffen Schmidt, 2019 Heidelberg University Physics
- “An introduction to Factorization Algebras in Quantum Field Theory” Jakob Ulmer, 2019 Heidelberg University Physics
- “The Volume Spectrum of Hyperbolic 3-manifolds” Paula Naomi Pilatus, 2019 Heidelberg University Mathematics
- “Calibrations and mathematical aspects of BPS Branes” Raphael Senghaas, 2019 Heidelberg University Physics
- “On a Brown Representability Theorem for Triangulated Categories with a Perfect generator” Edith Hübner, 2018 Heidelberg University Mathematics
- “Black Objects in 4+1 Spacetime Dimensions” Gönenc Mogol, 2018 Heidelberg University Physics
- “On Zeta-regularised Casimir Energies and their application to Hadronic Bag Models” Thomas Gaskin, 2017 Heidelberg University Physics
- “Arithmetics of Holography, p-Adic AdS/CFT and Discrete Black Holes” Menelaos Zikidis, 2017 Heidelberg University Mathematics
- “Supersymmetrischer Blick auf Symmetrie-Klassen” Sascha Holzer, 2016 Heidelberg University Physics
- “Instantons in Quantum Mechanics” Bo Jing 2008 ETH Zurich Physics