Research Interests (as at April 2019)
Primary MSC
- 15A45 - Miscellaneous inequalities involving matrices
- 15A60 - Applications of functional analysis to matrix theory
- 15A63 - Quadratic and bilinear forms, inner products
- 15B48 - Positive matrices and their generalizations; cones of matrices
- 33C20 - Generalized hypergeometric series, pFq
- 33C45 - Orthogonal polynomials and functions of hypergeometric type
- 33C60 - Hypergeometric integrals and functions defined by them
- 33E20 - Functions defined by series and integrals
- 44A05 - General integral transforms
- 46N10 - Applications of functional analysis in optimization and programming
- 46N50 - Applications of functional analysis in quantum physics
- 47D07 - Markov semigroups of linear operators and applications to diffusion processes
- 52A20 - Convex sets in n dimensions (including convex hypersurfaces)
- 52A40 - Inequalities and extremum problems (convex geometry)
- 52B12 - Special polytopes (linear programming, centrally symmetric, etc.)
- 60A10 - Probabilistic measure theory
- 60E05 - General theory of probability distributions
- 60E10 - Transforms of probability distributions
- 60G07 - General theory of stochastic processes
- 60H05 - Stochastic integrals
- 60H30 - Applications of stochastic analysis (to PDE, etc.)
- 60G44 - Martingales with continuous parameter
- 60G46 - Martingales and classical analysis
- 60G48 - Generalizations of martingales
- 60G51 - Processes with independent increments; Lévy processes
- 60G57 - Random measures
- 62E10 - Characterization and structure theory of statistical distributions
- 62E15 - Exact distribution theory in statistics
- 62H05 - Characterization and structure theory (multivariate analysis)
- 62H10 - Multivariate distributions of statistics
- 62H99 - Multivariate analysis
- 81P05 - General and philosophical topics in quantum theory
- 81P15 - Quantum measurement theory
- 81P40 - Quantum coherence, entanglement, quantum correlations
- 81P45 - Quantum information, communication, networks
- 90C09 - Boolean programming
- 90C20 - Quadratic programming
- 90C22 - Semidefinite programming
- 90C25 - Convex programming
- 90C27 - Combinatorial optimization
- 94C10 - Switching theory, application of Boolean algebra; Boolean functions
Secondary MSC
- 05D40 - Probabilistic methods in combinatorics
- 42A61 - Probabilistic methods in Fourier analysis
- 46B07 - Local theory of Banach spaces
- 46B28 - Spaces of operators; tensor products; approximation properties
- 46G10 - Vector-valued measures and integration
- 46G12 - Measures and integration on abstract linear spaces
- 46L07 - Operator spaces and completely bounded maps
- 47L20 - Operator ideals
- 52A07 - Convex sets in topological vector spaces (convex geometry)
- 60C05 - Combinatorial probability
- 60E07 - Infinitely divisible distributions; stable distributions
- 60H07 - Stochastic calculus of variations and the Malliavin calculus
- 60J65 - Brownian motion
- 62A01 - Foundations and philosophical topics in statistics
- 68Q25 - Analysis of algorithms and problem complexity
- 81P68 - Quantum computation
- 90C35 - Programming involving graphs or networks
- 91G20 - Derivative securities
- 91G30 - Interest rates (stochastic models)
- 91G40 - Credit risk
Keywords Primary: Analysis of Boolean functions; Bell’s inequality; Bell’s theorem; CHSH inequality; elliptope; foundations of quantum mechanics; Gaussian measure; Grothendieck’s inequality; Grothendieck constant; Hadamard matrix; quantum information; measure theory; MAX-CUT; positive semidefinite; Schoenberg; SDP; semimartingales; special functions
Keywords Secondary: Geometry of Banach spaces; Malliavin calculus; mathematical finance; mathematical foundations of machine learning; operator algebras; operator ideals; operator spaces; POVMs; statistics of machine learning; stochastic volatility models; tensor norms; vector measures
Membership in Research Networks
Most Recent Research Related Activities
Online Databases for Mathematical Research
Further Interests
- Differential Geometry
- Number Theory
- Cryptology (i.e., Cryptography and Cryptoanalysis)
[Many thanks to Peter Wagner for pointing this highly fascinating subject out to me!]
Current Version: April 19, 2019