BSc BSc MSc MSc PhD

Argam Ohanyan

My research interests encompass both classical and synthetic Lorentzian geometry and General Relativity.

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Professional Profile

I'm a postdoctoral researcher at the Department of Mathematics of the University of Toronto, supervised by Robert J. McCann.

Mailing Address: Department of Mathematics, University of Toronto, Office PG111, 45 St. George Street, M5S 2E5 Toronto, Ontario, Canada.

Research

  ➤ PUBLICATIONS

Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics

Kunzinger, M., Ohanyan, A., Vardabasso, A.
Manuscripta Math. 176.4(2025): 53.
https://doi.org/10.1007/s00229-025-01655-6

The equivalence of smooth and synthetic notions of timelike sectional curvature bounds

Beran, T., Kunzinger, M., Ohanyan, A., Rott, F.
Proc. Amer. Math. Soc. 153(2025), pp. 783–797.
https://doi.org/10.1090/proc/17022

Hawking-type singularity theorems for worldvolume energy inequalities

Graf, M., Kontou, E.-A., Ohanyan, A., Schinnerl, B.
Ann. Henri Poincaré (online) (2024), pp.1–36.
https://link.springer.com/article/10.1007/s00023-024-01502-6

Examples of cosmological spacetimes without CMC Cauchy surfaces

Ling, E. , Ohanyan, A.
Lett. Math. Phys. 114.4 (2024): 1-27.
https://doi.org/10.1007/s11005-024-01843-7

The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature

Beran, T., Ohanyan, A., Rott, F., Solis, D. A.
Lett. Math. Phys.113.2 (2023): 48.
https://doi.org/10.1007/s11005-023-01668-w

The Hawking–Penrose singularity theorem for C1-Lorentzian metrics

Kunzinger, M., Ohanyan, A., Schinnerl, B., Steinbauer, R.

Commun. Math. Phys. 391 (2022), no. 3,11431179. https://doi.org/10.1007/s00220-022-04335-8

   ➤ ACCEPTED

Vacuum cosmological spacetimes without CMC Cauchy surfaces

Ling, E., Ohanyan, A.
Proceedings of the XI International Meeting on Lorentzian Geometry, to appear
arXiv:2407.21524 (2024). https://doi.org/10.48550/arXiv.2407.21524

   ➤ PREPRINTS

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux

Manzano, M., Ohanyan, A., Steinbauer, R.
arXiv.2508.00231 (2025)
https://doi.org/10.48550/arXiv.2508.00231

A Lorentzian splitting theorem for continuously differentiable metrics and weights

Braun, M., Gigli, N., McCann, R., Ohanyan, A., Sämann, C.
arXiv.2507.06836 (2025)
https://doi.org/10.48550/arXiv.2507.06836

Distributional sectional curvature bounds for Riemannian metrics of low regularity

Erös, D., Kunziner, M., Ohanyan, A., Vardabasso, A.
arXiv:2503.17337 (2025)
https://doi.org/10.48550/arXiv.2503.17337

Splitting theorems for weighted Finsler space-times via the p-d’Alembertian: Beyond the Berwald case

Caponio, E., Ohanyan, A., Ohta, S.
arXiv:2412.20783 (2024)
https://doi.org/10.48550/arXiv.2412.20783

An elliptic proof of the splitting theorems from Lorentzian geometry

Braun, M., Gigli, N., McCann, R., Ohanyan, A., Sämann, C.
arXiv:2410.12632 (2024)
https://doi.org/10.48550/arXiv.2410.12632

A nonlinear d’Alembert comparison theorem and causal differential calculus on metric measure spacetimes

Beran, T., Braun, M., Calisti, M., Gigli, N., McCann, R. J., Ohanyan, A., Rott,F., Sämann, C.
arXiv:2408.15968 (2024)
https://doi.org/10.48550/arXiv.2408.15968

   ➤ TALKS

"Almost-rigidity of spacetimes with lower timelike sectional curvature bounds"

July 7, 2025, 2nd Workshop ”A new geometry for Einstein’s theory of relativity and beyond”, University of Vienna, Vienna, Austria.

”The splitting of Finsler spacetimes”

April 4, 2025, Analysis and Applied Mathematics Seminar, Department of Mathematics, University of Toronto, Toronto, Ontario, Canada.

”Causal differential calculus in nonsmooth spacetimes”

January 10, 2025, Special Session on Geometric PDE and Mathematical Physics, AMS Joint Mathematical Meetings, Seattle, Washington, USA.

”Rigidity in Lorentzian geometry”

November 21, 2024, Analysis Seminar, SISSA, Trieste, Italy.

”Cosmological spacetimes without CMC Cauchy surfaces”

February 1, 2024, XI International Meeting on Lorentzian Geometry, Autonomous University of Yucatan, Merida, Yucatan, Mexico.

”Differential calculus of time functions and causal curves in synthetic space-times”

December 7, 2023, Analysis Junior Seminar, SISSA, Trieste, Italy. VIDEO LINK

”Non-smooth spacetime geometry”

November 8, 2023, Gravity Seminar, Department of Physics, Yerevan State University, Yerevan, Armenia.

”Towards a Sobolev calculus in (synthetic) Lorentzian geometry”

March17, 2023, Workshop on Non-Regular Spacetime Geometry, Erwin Schrödinger Institute for Mathematical Physics, Vienna, Austria. VIDEO LINK

”Cosmological spacetimes without CMC Cauchy surfaces”

August 28, 2023, Gravity Seminar, Department of Physics, University of Alberta, Edmonton, Alberta, Canada.

”Non-smooth approaches to spacetime geometry”

May 25, 2023, Geometry Seminar, Centre for Geometry and Topology, Department of Mathematics, University of Copenhagen, Copenhagen, Denmark.

”Geometry and curvature of synthetic spacetimes”

April 20, 2023, GAPT Seminar, Department of Mathematics, Cardiff University, Cardiff, Wales, UK

”Synthetic Lorentzian geometry: introduction and recent developments”

February 27, 2023, Interdisciplinary Junior Scientist Workshop: Mathematical General Relativity, Wildberg, Germany. VIDEO LINK

”The splitting theorem for globally hyperbolic Lorentzian length spaces with nonnegative timelike curvature”

October 5, 2022, Workshop on Mathematical Relativity, Scalar Curvature and Synthetic Lorentzian Geometry, The Fields Institute for Research in Mathematical Sciences, Toronto, Ontario, Canada. VIDEO LINK

”Distributional methods in low regularity singularity theorems"

September 22, 2022, International Conference on Generalized Functions, Department of Mathematics, University of Vienna, Vienna, Austria.

”The Hawking–Penrose singularity theorem for C1-Lorentzian metrics”

February 21, 2022, 12th Central European Relativity Seminar (CERS12), Hungarian Academy of Sciences, Budapest, Hungary. VIDEO LINK

”The Hawking–Penrose Singularity Theorem for C1-Lorentzian Metrics”

November 19, 2021, Lunch Seminar on Gravitational Physics, Department of Physics,University of Vienna, Vienna, Austria.

Teaching

Here you will find information about courses I have taught.

MAT244H1S: Introduction to Ordinary Differential Equations

Department of Mathematics, University of Toronto
Lecture section and co-coordination
Winter Term 2025

Exercises on Functional Analysis

University of Vienna, Department of Mathematics
Summer semester 2023

Exercises on Introduction to Mathematical Methodology

University of Vienna, Department of Mathematics

Winter semester 2021/22

Mathematics 2 for Mechatronics and Robotics students (lecture)

University of Applied Sciences

Summer semester 2020

Mathematics 2 for Mechatronics and Robotics students (problems)

University of Applied Sciences

Summer semester 2020

Career

Postdoctoral fellow (post-doc)

Department of Mathematics, University of Toronto
Supervisor: Robert J. McCann
January 2025 - now

Research fellow (post-doc)

Department of Mathematics, University of Vienna
Supervisors: Michael Kunzinger, Roland Steinbauer
October 2024 - December 2024

Research fellow (pre-doc)

Department of Mathematics, University of Vienna
Supervisor: Roland Steinbauer
October 2020 - October 2024

Teaching assistant

University of Applied Sciences, Vienna
Summer semester 2020

Education

Doctoral Studies (PhD) in Mathematics

Department of Mathematics, University of Vienna
Dissertation Title: "Singularities and rigidity in smooth and non-smooth spacetimes"
Supervisor: Roland Steinbauer
November 2020 - October 2024

Master's Studies (MSc) in Mathematics

Department of Mathematics, University of Vienna

Graduation with distinction
Specialization: Geometry and Topology
Master's Thesis: "Splitting Theorems in Riemannian and Lorentzian Geometry"
Supervisor: Roland Steinbauer
October 2019 - November 2020

Master's Studies (MSc) in Physics

Department of Physics, University of Vienna
Graduation with distinction
Specialization: Mathematical Physics
Participant of the MCMP (Master Class Mathematical Physics) Program
Master's Thesis: "Geometric Foundations of the Classical Singularity Theorems"
Supervisor: Roland Steinbauer
Co-supervisor: Stefan Palenta
October 2019 - May 2022

Bachelor’s Studies (BSc) in Mathematics

Department of Mathematics, University of Vienna
Graduation with Distinction
Bachelor’s Thesis: ”Free Groups: An Introduction” (in German)
Supervisor: Karl Auinger
March 2017 - July 2019

Bachelor’s Studies (BSc) in Physics

Department of Physics, University of Vienna
Graduation with Distinction
Bachelor’s Thesis: ”Spectral Theory of Operators” (in German)
Supervisor: Stefan Fredenhagen
October 2016 - July 2019

Honors

Here you will find information on scholarships and awards I have received.

Dean’s List of the Department of Physics, University of Vienna, Austria

2021/22
For physics students who graduated both their BSC and their MSC with distinction
Website of the Dean’s List

Scholarship of the University of Vienna for Outstanding Students (2020/21)

Awarded for: Mathematics
- Ranking: 5th
- 955 Euros

Scholarship of the University of Vienna for Outstanding Students (2019/20)

- Awarded for: Mathematics
- Ranking: 3rd
- 1500 Euros

Scholarship of the University of Vienna for Outstanding Students (2018/19)

- Awarded for: Mathematics
- Ranking: 1st
- 1500 Euros

JASSO Scholarship for the ISP 2019

- Awarded to a few select participants of the ISP 2019 at the University of Osaka
- 160000 Yen (ca. 1360 Euros)

Scholarship of the University of Vienna for Outstanding Students (2017/18)

2021/22
- Awarded for: Mathematics - Ranking: 28th
-  801 Euros

Scholarship of the University of Vienna for Outstanding Students (2016/17)

- Awarded for: Mathematics
- Ranking: 9th
- 751 Euros

Funding

Here you will find information on third party research funds I have acquired.

Erwin Schrödinger Postdoctoral Scholarship

Awarded for 3 years
Project: ”Singularities and rigidity in non-smooth spacetimes”
- 218000 Euros
- FWF Project J4913

ÖAW-DOC Scholarship of the Austrian Academy of Sciences (2022)

Awarded for 2 years
Project: ”Topics in Non-Smooth Spacetime Geometry: Singularity Theorems, Space-time Extensions and Rigidity”
- 77000 Euros
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