Department of Mathematics, UCLA
E-Mail: jasgar (at) math.ucla.edu
Office: Mathematical Sciences 6105
I am a Visiting Assistant Professor at the Department of Mathematics of UCLA and work in its Analysis group. My host is Professor Terence Tao. I am grateful about a research fellowship of the German Research Foundation (DFG).
Currently, most of my focus is on a systematic understanding of results in ergodic theory for the action of uncountable groups. I am also interested in related questions in topological dynamics, Ramsey theory, arithmetic combinatorics, and multiplicative number theory. I have worked on specific problems in mathematical logic, functional analysis, measure theory, optimization and control, stochastic analysis and mathematical finance.
Papers
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An uncountable Moore-Schmidt theorem, with T. Tao.
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Optimal Transport to a Variety, with T. Ö. Çelik, G. Montúfar, B. Sturmfels, L. Venturello, to appear in Mathematical Aspects of Computer and Information Sciences.
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A perturbational duality approach in vector optimization, with S.M. Grad.
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A transfer principle for second-order arithmetic, and applications, with M. Carl, Journal of Logic and Analysis, 10(8):1-32, 2018.
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On compactness in L^0-modules, with J. Zapata, preprint.
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Parameter-dependent stochastic optimal control in finite discrete time, with M. Kupper and J. Zapata, preprint.
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A Fenchel-Moreau theorem for L^0-valued functions, with S. Drapeau and M. Kupper, Journal of Convex Analysis, 26(2):593-603, 2019.
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Measures and integrals in conditional set theory, with M. Kupper and M. Streckfuss, Set-Valued and Variational Analysis, 26(4):947-973, 2018. arXiv, journal.
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Multidimensional quadratic BSDEs with separated generators, with M. Kupper and P. Luo, Electronic Communications in Probability, 22, paper no. 58, 1-10, 2017.
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Conditional preferences and their numerical representations, with S. Drapeau, Journal of Mathematical Economics, 63:106-18, 2016.
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Sheaves and conditional sets.
arXiv.
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The algebra of conditional sets and the concepts of conditional topology and compactness, with S. Drapeau, M. Karliczek and M. Kupper, Journal of Mathematical Analysis and Applications, 437(1):561-589, 2016.
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A theory of conditional sets, PhD thesis, Humboldt University of Berlin, Institute of Mathematics and Natural Sciences II, 2014.
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Iterative Operator-Splitting with Time Overlapping Algorithms: Theory and Application to Constant and Time-Dependent Wave Equations, with J. Geiser, in Wave Propagation in Materials for Modern Applications, InTech open, 2010. Book chapter.
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Transport and Chemical Reaction: Characteristics Methods and Splitting Methods, with J. Geiser, Humboldt University Preprint 8-16, 2008.
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