Mohamed Omar (626)

Transcription

1 Mohamed Omar (626) Department of Mathematics California Institute of Technology Mathematics , Pasadena, California, USA, Citizenship: Canada momar Employment Harry Bateman Research Instructor Dept. of Mathematics, Caltech, Sept Present Postdoctoral fellow in mathematics. Taught various undergraduate & graduate courses, and organized department s combinatorics seminar. Academic Coordinator for Canada/USA Mathcamp Mathematics Foundation of America, Jun Aug 2012 Coordinated and scheduled academics for 5 week program consisting of over 100 mathematics courses. Coordinated new teacher mentoring program, college selection program, and project presentation fair. Director for ARML program in Explore Math Dept. of Mathematics, University of California, Davis, Jan Jun 2010 Directed competition component of UC Davis Explore Math Program, funded by the UC Davis College of Letters & Sciences, and supported by NSF VIGRE grants. Managed undergraduate seminar credit course in high school teaching, and curriculum development for team training. Education Ph.D., Mathematics Thesis: Applications of Convex and Algebraic Geometry to Graphs and Polytopes University of California, Davis, Jun Advisor: Jesús De Loera M.Math., Combinatorics & Optimization University of Waterloo, Oct Advisor: Ian P. Goulden B.Math., Dean s Honour List Pure Mathematics/Combinatorics & Optimization Double Honours Co-operative Program University of Waterloo, Jun. 2006

2 Research Interests Algebraic methods in Graph Theory and Discrete/Combinatorial Optimization Articles 1. On Volumes of Permutation Polytopes, to appear in Fields Institute Communications Series on Discrete Geometry & Optimization (w/ Burggraf, K., De Loera, J.) 2. Strong Nonnegativity & Sums of Squares on Real Varieties, to appear in Journal of Pure and Applied Algebra. (w/ Osserman, B.) 3. On the Hardness of Counting and Sampling Center Strings (Journal Version), to appear in IEEE/ACM Transactions on Computational Biology & Bioinformatics (w/ Boucher, C.) 4. On the Hardness of Counting and Sampling Center Strings (Conference Version), String Processing and Information Retrieval Symposium (SPIRE) 2010, pp (w/ Boucher, C.) 5. Recognizing Graph Theoretic Properties with Polynomial Ideals. Electronic Journal of Combinatorics. Vol. 17, R114 (2010) (w/ De Loera, J., Hillar, C., Malkin, P.) 6. Distribution of the Number of Encryptions in Revocation Schemes for Stateless Receivers. Discrete Mathematics and Theoretical Computer Science, pp , (2008) (w/ Eagle, C., Gao, Z., Panario, D., Richmond, B.) 7. Asymptotics of Largest Components in Combinatorial Structures. Algorithmica. Vol. 46, Issue: 3-4. pp (2006) (w/ Panario, D., Richmond, B., Whitely, J.) Teaching Experience Instructor for Calculus Dept. of Mathematics, Caltech, Sept Dec 2012 Instructor for Algebra I (High School) Art of Problem Solving, Sept Feb 2013 Instructor for Introduction to Discrete Math I Dept. of Mathematics & Dept. of Computer Science, Caltech, Sept Dec 2012 Instructor for Geometric Combinatorics (Graduate Class) Dept. of Mathematics, Caltech, April June 2012

3 Instructor for Introduction to Discrete Math II Dept. of Mathematics & Dept. of Computer Science, Caltech, Jan Mar 2012 Instructor for Introduction to Discrete Math I Dept. of Mathematics & Dept. of Computer Science, Caltech, Sept Dec Instructor for Canada/USA Mathcamp Mathematics Foundation of America, Jun Aug 2011 Discussion Instructor for Modern Linear Algebra Dept. of Mathematics, University of California, Davis, Jan Mar Instructor for Combinatorics Dept. of Mathematics, University of California, Davis, Jun Sept Instructor for Combinatorics Dept. of Mathematics, University of California, Davis, Jun Aug Instructor for ARML program in Explore Math Outreach Program Dept. of Mathematics, University of California, Davis, Jan Mar Discussion Instructor for Modern Algebra Dept. of Mathematics, University of California, Davis, Apr Jun Discussion Instructor for Integral Calculus Dept. of Mathematics, University of California, Davis, Sept Mar Discussion Instructor for Calculus II Dept. of Combinatorics & Optimization, University of Waterloo, May Aug Discussion Instructor for Linear Algebra for Engineers Dept. of Combinatorics & Optimization, University of Waterloo, Jan Apr Discussion Instructor for Discrete Math for Engineers Dept. of Combinatorics & Optimization, University of Waterloo, Sept Dec Awards, Grants & Honours Dean s Prize - Division of Mathematical & Physical Sciences, UC Davis, 2011 Yueh-Jing Lin Scholarship in Mathematics, UC Davis Mathematics, 2011 UC Davis Mathematics Block Grant, 2011 Alice Leung Research Scholarship in Mathematics, 2010 UC Davis Mathematics Block Grant, NSERC Postgraduate Doctoral Scholarship, Tenure Abroad, NSERC Alexander Graham Bell Canada Graduate Scholarship (Declined), 2007

4 Ontario Graduate Scholarship (Declined), 2007 Ontario Graduate Scholarship in Science & Technology, NSERC Undergraduate Student Research Award, René Descartes National Scholarship, University of Waterloo, Harry Jerome National Scholarship, Canadian Millennium Scholarship, Talks & Presentations Strong Nonnegativity & Sums of Squares on Real Varieties Algebra, Number Theory, Combinatorics Seminar, Claremont Colleges. Claremont, California, Dec SIAM Conference on Applied Algebraic Geometry, North Carolina State University. Raleigh, North Carolina, Oct AMS Special Session on Computational and Algorithmic Algebraic Geometry. Salt Lake City, Utah, Oct On Volumes of Permutation Polytopes Combinatorics Seminar, Caltech. Pasadena, California, Sept AMS Special Session on Convexity & Combinatorics. Richmond, Virginia, Nov Math Department Seminar, Simon Fraser University, Burnaby Campus. Burnaby, British Columbia, Oct Iterative Algebraic Algorithms for the Recognition of Combinatorial Properties Math Department Seminar, Simon Fraser University, Surrey Campus. Surrey, British Columbia, Oct Research Group Seminar (Thorsten Theobald), Goethe-Universität Institut fur Mathematik. Frankfurt, Germany, Nov Research Group Seminar (Michael Joswig), Technische Universität Darmstadt. Darmstadt, Germany, Nov Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM 2009). Montreal, Quebec, Canada, May 2009.

5 Service Siemens Competition, Judge, Caltech SURF (Summer Undergraduate Research) Presentation Day, Session Chair, Caltech Combinatorics Seminar, Organizer, Caltech Postdoc Association, Event Program Chair, Caltech Postdoc Association, Executive Secretary, Advisory Panel Member, American Mathematics Competition, present. AMS-MAA Joint Math Meetings Undergraduate Poster Session Judge, Galois Group Tutoring Fundraiser Organizer, UC Davis Student Run Discrete Math Seminar Organizer, Competition Writer, Mathleague.org Competitions, 2009-present. UC Davis Graduate Program Committee Representative, UC Davis Undergraduate Research Mentor, Oakland/East Bay Math Circle Guest Lecture, American Mathematics Society Graduate Student Blog Editorial Board, UC Davis Graduate Student Association Representative, Competition Grader, Canadian Mathematics Competitions, Refereed Articles for Journal of Combinatorial Designs, Journal of Integer Sequences, Discrete Optimization. Skills Math Programming: 4ti2, Java, Latte, Macaulay 2, Maple, Matlab, Python, Sage Languages: English, some Arabic, some French.