Curriculum Vitae

Academic Appointments

• 2024–present
  Brin Postdoctoral FellowUniversity of Maryland, College ParkMentor: Richard Wentworth
• 2023–2024
  CRM–ISM Postdoctoral FellowUniversité du Québec à Montréal

Education

• 2018–2023
  Ph.D. in MathematicsStanford UniversityAdvisor: Rafe MazzeoDissertation: A Study on the Extended Bogomolny Equations
• 2014–2018
  B.Sc. in Mathematics, Minor in PhysicsMassachusetts Institute of Technology

Research Interests

Geometric analysis; Gauge theory and Higgs bundles; Moduli spaces and quiver varieties; Spectral theory.

Publications and Preprints

1. Pointwise improvement of the error term in the higher rank hyperbolic lattice counting problem

   Dimitrios Chatzakos, Panagiotis Dimakis, Christos Katsivelos · 2026

   arXiv

2. Discreteness of real $\mathrm{SL}_n$-opers

   Panagiotis Dimakis, Richard A. Wentworth · 2026

   arXiv

3. Off-diagonal bounds for spectral projector kernels

   Panagiotis Dimakis · 2026

   arXiv

4. Square root cancellation in the hyperbolic lattice counting problem over cocompact groups

   Dimitrios Chatzakos, Panagiotis Dimakis · 2026

   arXiv

5. The conformal limit for Nakajima quiver varieties

   Sotiria Chatzimarkou, Panagiotis Dimakis · 2026

   arXiv

6. Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections

   Panagiotis Dimakis, Duong Dinh, Shengjing Xu · 2026

   arXiv

7. Asymptotic geometry at infinity of quiver varieties

   Panagiotis Dimakis, Frédéric Rochon · 2024

   Accepted for publication in Courant Journal of Pure and Applied Mathematics

   arXiv

8. On a conjecture of Simpson

   Panagiotis Dimakis, Sebastian Schulz · 2024

   arXiv

9. The moduli space of solutions to the Extended Bogomolny equations on $\Sigma \times \mathbb{R}_{+}$

   Panagiotis Dimakis · 2024

   arXiv

10. The extended Bogomolny equations on $\mathbb{R}^{2} \times \mathbb{R}_{+}$ I: Nilpotent Higgs field

    Panagiotis Dimakis · 2022

    arXiv

11. Model knot solutions for the twisted Bogomolny equations

    Panagiotis Dimakis · 2022

    Accepted for publication in Illinois Journal of Mathematics

    arXiv

12. Equivariant K-theory and Resolution II: Non-Abelian actions

    Panagiotis Dimakis, Richard Melrose · 2021

    arXiv

13. Compactification of semi-simple Lie groups

    Pierre Albin, Panagiotis Dimakis, Richard Melrose, David Vogan · 2019

    arXiv

14. Equivariant K-theory and Resolution I: Abelian Actions

    Panagiotis Dimakis, Richard Melrose · 2018

    Geometric Analysis: In Honor of Gang Tian’s 60th Birthday, Progress in Mathematics 333, Birkhäuser, 2020, pp. 71–92

    arXivDOI

15. Compactification of $\mathrm{SL}(2)$

    Pierre Albin, Panagiotis Dimakis, Richard Melrose · 2018

    arXiv

16. Combinatorial wall-crossing and the Mullineux involution

    Panagiotis Dimakis, Guangyi Yue · 2017

    Journal of Algebraic Combinatorics 50 (2019), 49–72

    arXivDOI

Honors and Fellowships

• 2023–2024
  CRM–ISM Postdoctoral Fellowship
• Fall 2022
  Salgo–Noren Program AssociateSimons Laufer Mathematical Sciences Institute (SLMath), BerkeleyProgram: Analytic and Geometric Aspects of Gauge Theory
• 2018–2023
  Stanford Graduate Fellowship
• 2018
  Phi Beta Kappa

Teaching

• Spring 2027
  MATH 401 — Applications of Linear AlgebraScheduled
• Fall 2026
  MATH 241 — Calculus IIICurrent
• Fall 2025
  MATH 410 — Advanced Calculus IMATH 136 — Calculus for Life Sciences
• Spring 2025
  MATH 141H — Calculus II (Honors)
• Fall 2024
  MATH 401 — Applications of Linear Algebra

Selected Research Talks

• July 3, 2026
  The conformal limit for Nakajima quiver varietiesThird Congress of Greek Mathematicians, Geometry and Topology SessionAthens, Greece
• March 19, 2026
  A conformal limit construction for Nakajima quiver varietiesMath–Physics Joint SeminarUniversity of Pennsylvania
• November 7, 2025
  Geometry at infinity of quiver varietiesTopology, Algebraic Geometry, and Dynamics SeminarGeorge Mason University
• October 22, 2025
  Asymptotic geometry at infinity of quiver varietiesModern Musings on MonopolesSimons Center for Geometry and Physics, Stony Brook University
• July 2, 2025
  Local degeneration of the moduli space of complex flat connectionsHiggs Bundles and Harmonic MapsUniversity of Kiel
• April 29, 2025
  On a conjecture of SimpsonMath–Physics Joint SeminarUniversity of Pennsylvania
• November 29, 2024
  On a conjecture of SimpsonCIRGET SeminarUniversité du Québec à Montréal
• May 13–17, 2024
  Asymptotic geometry of Nakajima quiver varietiesAnalysis of Geometric SingularitiesCentre de recherches mathématiquesMontréal
• April 16, 2024
  On a conjecture of SimpsonAdvances in Higgs BundlesBrin Mathematics Research Center, University of Maryland
• April 5, 2024
  The moduli space of solutions to the extended Bogomolny equations on $\Sigma \times \mathbb{R}_{+}$Geometry–Topology SeminarUniversity of California, Riverside
• January 25, 2024
  The moduli space of solutions to the dimensionally reduced Kapustin–Witten equations on $\Sigma \times \mathbb{R}_{+}$Geometry & Topology SeminarUniversity of Waterloo
• April 10, 2023
  BAA branes on the Hitchin moduli space from solutions to the extended Bogomolny equationsJoint Geometry–Topology and Informal Geometric Analysis SeminarUniversity of Maryland
• March 17, 2023
  BAA branes on the Hitchin moduli space from solutions to the extended Bogomolny equationsCIRGET SeminarUniversité du Québec à Montréal
• September 27, 2022
  Simons Laufer Mathematical Sciences Institute (SLMath)Berkeley

Professional Service

• Current
  Co-organizer, Geometry–Topology SeminarUniversity of Maryland, College Park

Languages

• Native
  Greek
• Fluent
  English
• Basic
  French