Return to collaborators

Collaborators: Formal Science (Mathematics) + Applied Mathematics

FORMAL SCIENCE: MATHEMATICS
Calculus
	Sergey V. Lototsky, PhD Professor of Mathematics Graduate Vice Chair, Applied Mathematics Department of Mathematics University of Southern California (USC) Los Angeles, California, USA  Education Ph.D. Applied Mathematics, University of Southern California, 1/1996 M.S. Physics, Moscow Institute of Physics and Technology, Moscow, Russia, 1/1992 Post Doctoral Training C.L.E. Moore Instructor of Mathematics, Massachusetts Institute of Technology, 9/1997-7/2000 Post-doctoral member , Institute for Mathematics and its Applications, University of Minnesota, 1996-1997
	Research Professor Lotosky studies probability theory, stochastic processes, nonlinear filtering, and stochastic partial differential equations. Most recently he has authored several papers regarding stochastic parabolic equations and nonlinear filtering using Galerkin Approximation and Wiener Chaos Decomposition. Major Grants CAREER: Stochastic Partial Differential Equations and Applications (NSF), Sergey Lototsky, None, $400,000, 7/1/2003-6/30/2008   Positions Professor of Mathematics, USC, 12/22/2006- Associate Professor of Mathematics, University of Southern California, 5/15/2003-12/22/2006 Assistant Professor of Mathematics, University of Southern California, 1/1/2000-5/15/2003 Visitng Scholar, Institut Mittag-Leffler, The Royal Swedish Academy of Sciences, 8/30/2007-12/15/2007 Visiting Professor , Division of Applied Mathematics, Brown University, 2/1/2007-4/30/2007 Visiting Scholar , Center for Mathematical Sciences, University of Wisconsin, 7/1999-8/1999 Books P. H. Baxendale, S. V. Lototsky (Ed.). (2007). Stochastic Differential Equations: Theory and Applications. (Vol. 2, Singapore: World Scientific. Blum, E. K., Lototsky, S. V. (2006). Mathematics of Physics and Engineering. World Scientific.
		Modules: 1. Improper Integrals 2. Sequences 3. Series
	Kevin Iga, PhD Associate Professor of Mathematics Pepperdine University Malibu, California, USA  Education Ph.D Mathematics, Stanford University 1998 B.S. Mathematics, MIT 1992 B.S. Physics, MIT 1992 Kevin Iga is an associate professor in mathematics at Pepperdine University, a four-year liberal arts college in Malibu, California, dedicated to educating our youth and preparing them for life by giving them a firm foundation in the Christian faith. Professor Iga was born on October 19, 1970, in Honolulu, Hawaii , went to high school at Moanalua High School from 1984-1988, got his bachelor's degree in Mathematics and Physics at MIT in 1992 and received my Ph.D. in Mathematics at Stanford University in 1998.
	Professor Iga's job involves teaching roughly 12 hours per week, which involves three courses each semester, and research. His research is an area of topology which investigates four-dimensional manifolds using Seiberg-Witten equations and other related methods. Other research interests include differential geometry, Morse theory, Supersymmetry, and (on an unrelated note) Biblical textual criticism. He is involved in Malibu Presbyterian Church, and as an alumnus, Alpha Phi Omega, a national service fraternity. Courses Taught Calculus for Business, Probability and Linear Algebra for Business, The Nature of Mathematics, Calculus III, Linear Algebra, Algebraic Structures, Probability, Statistics, Automata Theory.
		Modules: 1. Math Module 2. Math Module 3. Math Module
Mathematical Logic
	Thomas Scanlon, PhD Professor of Mathematics Department of Mathematics University of California, Berkeley Berkeley, California, USA  Education Ph.D. Mathematics, Harvard University, 1997 Research Model theory and applications to number theory
	Courses Taught Set Theory, Calculus. Selected Publications : Aschenbrenner, Matthias and Moosa, Rahim and Scanlon, Thomas (2006). Strongly minimal groups in the theory of compact complex spaces. J. Symbolic Logic 71 No.2, 529-552. Scanlon, Thomas (2006). Local André-Oort conjecture for the universal abelian variety. Invent. Math. 163 No.1, 191-211. Scanlon, Thomas (2005). A positive characteristic Manin-Mumford theorem. Compos. Math. 141 No.6, 1351-1364. Scanlon, Thomas (2004). Automatic uniformity. Int. Math. Res. Not. No.62, 3317-3326. Moosa, Rahim and Scanlon, Thomas (2004). F-structures and integral points on semiabelian varieties over finite fields. Amer. J. Math. 126 No.3, 473-522.
		Modules: 1. Propositional Logic 2. Gödel's Incompleteness Theorem 3. Compactness Theorem
Graph Theory
	Amber Rosin, PhD Assistant Professor of Mathematics Department of Mathematics & Statistics Cal Poly Pomona Pomona, California, USA
		Modules: 1. Bipartite Graphs 2. Isomorphic Graphs 3. Hamiltonian Graphs
APPLIED MATHEMATICS
Statistics
	Christiana Drake, PhD Professor of Statistics Department of Statistics University of California, Davis Davis, California, USA  Education Ph.D. in Biostatistics, University of Washington, 1989 S.M. in Biostatistics, Harvard School of Public Health, 1982 B.S. in Applied Mathematics, State University of New York at Stony Brook, 1980
	Current Research Interests Causal inference in observational studies and inference with non-randomly missing data. Consulting Research Projects: Department of Family Practice, University of California, Davis Department of Radiology, University of California, Davis Department of Community Health, University of California, Davis, (observational study on criminal behavior of legal hand gun purchasers funded by the Centers for Disease Control) California Department of Forestry Association of California Water Agencies Awards: NIH Predoctoral Fellowship, 1988-1989 School of Public Health Fellowship, University of Washington, 1985-1988 Award for outstanding academic achievement at graduation from S.U.N.Y. Stony Brook, 1980
		Modules: Biostatistics 1. Causal Inference 2. Missing Data 3. Epidemiology
	Ery Arias-Castro, PhD Assistant Professor of Mathematics Department of Mathematics & Statistics University of California, San Diego (UCSD) San Diego, California, USA  Education Ph.D. Statistics, Stanford University, 2004 M.A. Artificial Intelligence, École Normal Supérieure de Cachan & Washington University, Saint Louis, 1998 B.S. Mathematics, École Normal Supérieure de Cachan, France, 1997
	Dr. Arias-Castro received his PhD in Statistics from Stanford in 2004. After receiving his degree he was a Postdoctoral Fellow at the NSF funded Institute for Pure and Applied Mathematics at the University of California, Los Angeles, (September 2004 - December 2004) where he participated in the program on Multiscale Geometry and Analysis in High Dimensions. January - July 2005 Dr. Arias-Castro was a Postdoctoral Fellow at the NSF funded Mathematical Sciences Research Institute at the University of California, Berkeley, in Mathematical, Computational and Statistical Aspects of Image Analysis. His work is motivated by fundamental problems ranging from finding filaments and sheets of galaxies to identifying roads, rivers, railroads, etc. in satellite images. Before going to Stanford, Dr. Arias-Castro placed 16th in the "Agregation Externe de Mathematiques," a highly competitive French national examination, for which candidates receive rigorous training and compete for teaching positions in Mathematics at the secondary and college level. Courses Applied Statistics (A&B), Introduction to Computational Statistics Academic Interests and Research Image Processing and Detection of Geometric Objects by Fast Multiscale Methods and techniques related to Statistical Mechanics. Spatial Statistics, Image Processing, Applied Probability, Statistics, Computational Harmonic Analysis, Markov Chains, Stochastic Probability.
		1. Linear Regression 2. Multivariable Data Analysis 3. Mathematical Statistics 4. Nonparametric Statistics
	Olga Korosteleva, PhD Assistant Professor of Mathematics Department of Mathematics & Statistics California State University, Long Beach (CSLB) Long Beach, California, USA  Education Ph.D. in Statistics/Probability (May 2002),Department of Statistics,Purdue University, West Lafayette, IN Master of Science in Statistics (December 1999),Department of Statistics, Purdue University, West Lafayette, IN Bachelor of Science in Mathematics (May 1996),Department of Mathematics, Wayne  State University, Detroit, MI
	Courses Taught Probability Theory, Mathematical Statistics, Stochastic Processes, Regression Analysis, Multivariate Data Analysis, Experimental Design, Statistical Quality Control, Statistical Consulting, Clinical Statistics. Sample Publications Korosteleva, O.  (2008). “Introduction to Clinical Statistics: Clinical Trials, Survival & Longitudinal Data Analyses”, accepted for publication. Korostelev, A. and Korosteleva, O. (2004). “Spread of Branching Diffusion: Sharp Asymptotics,” Stochastics and Stochastics Reports 76, no. 6, 509 – 516. Selected Professional Talks Probability Seminar, Department of Statistics, U of M, Ann Arbor, MI, Apr’07. Research Colloquium, Department of Statistics, UCR, Riverside, CA, Sept’04.
		Modules: 1. Survival Analysis 2. Clinical Statistics 3. Longitudinal Data Analysis 4. Mathematical Statistics 5. Nonparametric Statistics 6. Probability Theory 7. Stochastic Processes

 

 

Return to collaborators