- 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

## 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

- “Exponential networks and representations of Quivers” Dr. Sam Selmani, 2017 McGill University/ University of Heidelberg Physics
- “Extended Frobenius Manifolds and the Open WDVV Equations” Dr. Adam Alcolado, 2017 McGill University / University of Heidelberg Mathematics

#### Master thesis works

- “The Geometry of Supermoduli Space and its Relation to Perturbative Superstring Theory” Lukas Hahn, 2018 University of Heidelberg Physics
- “A survey of Defects in N = 4 Supersymmetric Yang –Mills Theory” Michael Bleher, 2017 University of Heidelberg Physics
- Marc-Antoine Fiset, 2015 McGill Physics
- Adam Alcolado, 2013 McGill Mathematics
- Robert Jefferson, 2013 McGill Physics
- Daniel Krefl, 2009 LMU Physics

#### Bachelor thesis works

- Gönenc Mogol, 2018 University of Heidelberg Physics
- “On Zeta-regularised Casimir Energies and their application to Hadronic Bag Models” Thomas Gaskin, 2017 University of Heidelberg Physics
- “Arithmetics of Holography, p-Adic AdS/CFT and Discrete Black Holes” Menelaos Zikidis, 2017 University of Heidelberg Mathematics
- Sascha Holzer, 2016, University of Heidelberg Physics
- “Instantons in Quantum Mechanics” Bo Jing, 2008 ETH Zurich Physics