BSc BSc MSc MSc

Argam Ohanyan

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

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Professional Profile

I'm a PhD student at the Department of Mathematics of the University of Vienna, supervised by Roland Steinbauer.

Mailing Adress: Fakultät für Mathematik, Universität Wien, Office 03.133, Oskar-Morgenstern-Platz 1, A-1090 Wien, Austria

Research

Examples of cosmological spacetimes without CMC Cauchy surfaces

Ling, E. , Ohanyan, A.
Letters in Mathematical Physics 114.4 (2024): 1-27

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

Beran, T., Ohanyan, A., Rott, F., Solis, D. A.

Letters in Mathematical Physics 113.2 (2023): 48

The Hawking-Penrose singularity theorem for C1-Lorentzian metrics

Kunzinger, M., Ohanyan, A., Schinnerl, B., Steinbauer, R.
Communications in Mathematical Physics 391.3 (2022): 1143-1179

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

Beran, T., Kunzinger, M., Ohanyan, A., and Rott, F.
Proceedings of the American Mathematical Society, to appear,arXiv:2403.18077 (2024).

Hawking-type singularity theorems for worldvolume energy inequalities.

Graf, M., Kontou, E.-A., Ohanyan, A., and Schinnerl
AnnalesHenri Poincar ́e, to appear, arXiv:2209.04347 (2024).

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

Kunzinger, M., Ohanyan, A., and Vardabasso, A.
arXiv preprint arXiv:2406.06762 (2024).

Teaching

Here you will find information about courses I have taught.

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

Research fellow (pre-doc)

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

Teaching assistant

University of Applied Sciences, Vienna
Summer semester 2020

Education

Doctoral Studies (PhD) in Mathematics

Department of Mathematics, University of Vienna
Dissertation Topic: ”Topics in Non-Smooth Spacetime Geometry”
Supervisor: Roland Steinbauer
November 2020 - October 2024 (expected)

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

Talks

Here you will find information on talks I have given on various conferences, seminars and workshops.

Cosmological spacetimes without CMC Cauchy surfaces

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

Cosmological spacetimes without CMC Cauchy surfaces

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

Non-smooth Approaches to Spacetime Geometry

Department of Mathematics, Universityof Copenhagen, Copenhagen, Denmark.
May 25, 2023, GeometrySeminar, Centre for Geometry and Topology

Geometry and Curvature of Synthetic Spacetimes

Cardiff University, Cardiff, Wales, UK.
April 20, 2023, GAPTSeminar, Department of Mathematics

Towards a Sobolev Calculus in (Synthetic) Lorentzian Geometry

Erwin Schr ̈odinger Institutefor Mathematical Physics, Vienna, Austria.
March17, 2023, Workshop on Non-Regular Spacetime Geometry

Synthetic Lorentzian Geometry: Introduction and Recent Developments

Mathematical GeneralRelativity, Wildberg, Germany.
February 27, 2023, Interdisciplinary Junior Scientist Workshop

The Splitting Theorem for Globally Hyperbolic Lorentzian Length Spaceswith Nonnegative Timelike Curvature

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

Distributional Methods in Low Regularity Singularity Theorems

Department of Math-ematics, University of Vienna, Vienna, Austria.
Septem-ber 22, 2022, International Conference on Generalized Functions,

The Hawking–Penrose Singularity Theorem for C1-Lorentzian Metrics

HungarianAcademy of Sciences, Budapest, Hungary.
February 21, 2022, 12th Central European Relativity Seminar (CERS12)

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

O ̈AW-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

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

Research stays

Here you will find information on my research stays and conferences I have participated in.

University of Alberta, Canada

- August 28 - September 1, 2023
- Short-term visit as part of a collaboration with Eric Woolgar
- Speaker at the Gravity Seminar (Department of Physics, University of Alberta)

University of Copenhagen, Denmark

- May 23 - May 26, 2023
- Short-term visit as part of a collaboration with Eric Ling
- Speaker at the Geometry & Topology Seminar (Copenhagen Centre for Geometryand Topology)

Cardiff University, Wales, UK

- April 19 - April 21, 2023
- Short-term visit as part of a collaboration with John Harvey - Speaker at the GAPT Seminar (Department of Mathematics, Cardiff University)

Thematic Program on Nonsmooth Riemannian and Lorentzian Geometry

- The Fields Institute for Research in Mathematical Sciences, Toronto, Ontario, Canada- Short-term visitor
- October 1st, 2022 - October 14th, 2022
- Speaker at the workshop on ”Mathematical Relativity, Scalar Curvature and SyntheticLorentzian Geometry”.

Research in Pairs Program

- Mathematical Research Institute of Oberwolfach (MFO), Germany
- April 10th, 2022 - April 23rd, 2022
- With Melanie Graf, Eleni-Alexandra Kontou and Benedict Schinnerl
- Topics: Singularity theorems from worldvolume inequalities
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