Johns Hopkins University Whiting School of Engineering

Fred Torcaso


Senior Lecturer
Applied Mathematics and Statistics
fred.torcaso@jhu.edu (primary)

Education

B.A, University of Connecticut - Storrs
Ph.D, University of Maryland - College Park

Experience

2006: Senior Lecturer - Johns Hopkins University Dept. of Applied Mathematics and Statistics
2002-2006: Lecturer - Johns Hopkins University Dept. of Mathematical Sciences
2001-2002: Visiting Assistant Professor - Univ. of North Carolina Wilmington Mathematics and Statistics Dept.

Research Areas

Probability Theory
Differential Equations
Asymptotic Analysis

Journal Articles

Gao, F., Hannig, J., Lee, T.-Y., Torcaso, F. (2004). Exact L2 small balls for Gaussian processes. Journal of Theoretical Probability. 17(2). 503-520.
Fill, J.A., Torcaso, F. (2004). Asymptotic Expansions via Mellin transforms for Small Deviations in L^2-norm of integrated Brownian sheets. Probability Theory and Related Fields. 130. 259-288.
Gao, F., Hannig, J., Lee, T.-Y., Torcaso, F. (2003). Laplace Transforms via the Hadamard Factorization. Electronic Journal of Probability. 8(13). 1-20.
Gao, F., Hannig, J., Torcaso, F. (2003). Integrated Brownian Motions and Exact L2 Small Balls. Annals of Probability. 31(3). 1320-1337.
Gao, F., Hannig, J., Torcaso, F. (2003). Comparison Theorems for Small Deviations of random series. Electronic Journal of Probability. 8(21). 1-17.

Awards & Honors

2005 - 2005: Acheson J. Duncan Fund, for travel to and attendance for the Northeast Probability Seminar, New York, New York
2004 - 2004: Acheson J. Duncan Fund, for travel to and attendance for the IISA meetings at the University of Georgia, Athens, GA
2002 - 2002: Honorary Fellow - University of Wisconsin Probability Intern Program
2001 - 2001: Honorary Fellow - University of Wisconsin Probability Intern Program

Presentations

Energy of Brownain sheets via Mellin transform International Indian Statistical Association. Athens, GA. 2004-05-00., April 30, 2004
Some recent results in small deviation probabilities AMS Seminar. Baltimore, MD. 2004-04-15., April 15, 2004
Probabilistic Methods related to Physical problems Hiring Talk - Auburn University Montgomery. Montgomery, AL. 2004-03-00. (Invited), February 29, 2004
Probabilistic Methods related to Physical problems Hiring Talk - Florida Institute of Technology. Melbourne, FL. 2004-02-00. (Invited), January 31, 2004
Integrated Brownian motions and Sturm Liouville problems Hiring Talk - University of Houston, Dept. of Math.. Houston, TX. 2003-03-19., March 19, 2003
Laplace transforms and the Hadamard factorization Joint Meetings of the AMS/MAA/SIAM. Baltimore, MD. 2003-01-15., January 15, 2003
Exact Small Ball Probabilities of Gaussian Processes Seminar in Probability - University of Delaware Dept. of Mathematics. Newark, DE. 2002-09-00. (Invited), August 31, 2002
Probabilistic Methods in the Analysis of Physical Problems Hiring Talk - Boise State University Dept. of Mathematics. Boise, ID. 2002-02-00. (Invited), January 31, 2002
Some aspects of Probability Theory related to Physical Problems Hiring Talk - Univ. of North Carolina. Wilmington, NC. 2002-02-00. (Invited), January 31, 2002
Some Mathematical Aspects of Precise Timekeeping Hiring Talk - Johns Hopkins University Dept. of Mathematical Sciences. Baltimore, MD. 2002-02-00. (Invited), January 31, 2002