Mathematics Webinar | Recent Progress in Real Analysis and PDEs
the chair
21st Mathematics Webinar
Recent Progress in Real Analysis and PDEs
It is my great pleasure and privilege to welcome you to today's webinar on "Recent Progress in Real Analysis and PDEs." As Chair of this session, I am honored to facilitate what promises to be an intellectually stimulating exchange of ideas at the intersection of two fundamental areas of mathematical analysis.
We are fortunate to have assembled a distinguished panel of speakers whose research contributions have significantly advanced our understanding of partial differential equations and real analysis. I am delighted to introduce Professor Scott Rodney from Canada, whose work in nonlinear analysis and differential equations has been widely recognized; Professor Tigran Bakaryan from Armenia, whose research on mean-field games, optimal control, and the analysis of coupled PDE systems has made significant contributions to our understanding of stationary mean-field games, regularity theory, and their connections to network equilibria; and Professor Yoshihiro Sawano from Tokyo, whose expertise in function spaces and harmonic analysis has enriched the field considerably.
The interplay between real analysis and the theory of partial differential equations remains one of the most fertile areas of mathematical research. The analytical techniques developed in real analysis—from harmonic analysis to functional inequalities—provide essential tools for understanding the existence, regularity, and qualitative behavior of solutions to PDEs. Conversely, questions arising from PDEs continue to inspire new developments in real analysis.
Today's presentations will showcase recent advances in this dynamic area, and I anticipate that the ensuing discussions will foster new collaborations and insights. I encourage all participants to engage actively during the question periods.
Date: 19 November 2025
Time: 2:00 PM CET | 8:00 AM EST
Webinar ID: 852 8705 8406
Webinar Secretariat: journal.webinar@mdpi.com
Meet Our Speakers
Prof. Tigran Bakaryan
Mathematics and Mechanics, Yerevan State University, Armenia;
Tigran Bakaryan is a Leading Researcher at the Center for Scientific Innovation and Education (CSIE), a Researcher at the Institute of Mathematics of the National Academy of Sciences of Armenia (NAS RA), and a Professor at Yerevan State University (YSU). He received his Bachelor’s and Master’s degrees from YSU and earned his Ph.D. in Fourier Analysis at the Institute of Mathematics of NAS RA. During his doctoral studies, he was awarded a Young Researcher Grant from the Science Committee of Armenia. In 2018, he joined King Abdullah University of Science and Technology (KAUST) as a Postdoctoral Fellow, where he worked on the theory of Mean-Field Games (MFGs). During this period, he also spent several months as a Visiting Research Scientist at Sapienza University of Rome and the University of Catania. In 2023, Tigran joined the Department of Mechanical Science and Engineering at the University of Illinois Urbana–Champaign (UIUC) as a Postdoctoral Research Associate, focusing on applied problems in multi-agent autonomous systems. His research interests include partial differential equations, game theory, mean-field game theory, control theory, and multi-agent autonomous systems.
Department of Mathematics, Chuo University, Japan;
Graduated from the University of Tokyo and is currently a full professor at Chuo University.
Dr. Rafayel Teymurazyan
King Abdullah University of Science and Technology (KAUST), Saudi Arabia;
Rafayel Teymurazyan obtained his PhD in Mathematics from the University of Lisbon (Portugal) in 2013. After postdoc and research positions at the Federal University of Ceará (Brazil), the University of Texas at Austin (USA), and the University of Coimbra (Portugal), he joined KAUST in 2023. He works on regularity theory for nonlinear PDEs and the mathematical analysis of free boundary problems.
Prof. Scott Rodney
Department of Mathematics, Physics and Geology, Cape Breton University, Canada;
Scott is a professor of Mathematics who works in regularity theory for degenerate elliptic equations. Using ideas of Wheeden and Sawyer, he studies PDEs using the ideas of harmonic analysis.
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