Jesse Elliott Contact Information 305 Channel Islands Drive +01 805 889 9924 Camarillo, CA 93012 jesse.elliott@csuci.edu USA www.csuci.edu/faculty.htm/jesse.elliott Education Ph.D. in Mathematics, 2003 Thesis: Witt-Burnside Rings Advisor: Hendrik W. Lenstra, Jr. B.S. in Mathematics, 1995 Honors: Phi Beta Kappa Massachusetts Institute of Technology Grade point average: 4.9/5.0 Positions California State University, Channel Islands Associate Professor of Mathematics Fall 2009 present Assistant Professor of Mathematics Fall 2003 Summer 2009 University of California, Los Angeles Lecturer Summer 2009 Instructor Summers 2007, 1999 2002 Research Assistant 2002 2003 Graduate Student Instructor Spring 2002, 1996 2000 Universiteit Leiden, Mathematisch Instituut Visiting Research Assistant Fall 2001 Research Areas Publications Preprints Commutative algebra and number theory Birings and plethories of integer-valued polynomials, to appear in Actes des Rencontres du CIRM, Proceedings of the Third International Meeting on Integer-Valued Polynomials. Integer-valued polynomial rings, t-closure, and associated primes, http://arxiv.org/abs/1105.0142, to appear in Comm. Algebra. Functorial properties of star operations, Comm. Algebra 38 (5) (2010) 1466 1490. Some new approaches to integer-valued polynomial rings, in: Commutative Algebra and its Applications: Proceedings of the Fifth Interational Fez Conference on Commutative Algebra and Applications, Eds. M. Fontana, S. Kabbaj, B. Olberding, and I. Swanson, de Gruyter, New York, 2009. Ring structures on groups of arithmetic functions, J. Number Theory 128 (2008) 709 730. Universal properties of integer-valued polynomial rings, J. Algebra 318 (2007) 68 92. Binomial rings, integer-valued polynomials, and λ-rings, J. Pure Appl. Alg. 207 (2006) 165 185. Constructing Witt-Burnside rings, Adv. Math. 203 (2006) 319 363. Witt-Burnside Rings, Dissertation,, 2003. Presentations and module bases of integer-valued polynomial rings, http://arxiv.org/abs/1109.3921, submitted. Factoring formal power series over principal ideal domains, http://arxiv.org/abs/1107.4860, submitted. Biring and plethory structures on integer-valued polynomial rings,
http://arxiv.org/abs/1109.3848, submitted. Prequantales and applications to semistar operations and module systems, http://arxiv.org/abs/1101.2462, submitted. Semistar operations on Dedekind domains, in preparation. Functoriality of t-class groups, in preparation. Lectures on Abstract Algebra (textbook), in preparation. Grants and Awards Research Talks Sabbatical Leave, Fall 2011 One semester paid leave to support authoring a text Instructionally Related Activities Grant, 2011 $25,062 for student and faculy travel to Italy Faculty Development Mini-Grants, 2011 12, 2003 09 Three units of reassigned time per academic year for research Instructionally Related Activities Grant, 2008 $16,580 for student and faculty travel to the Benelux countries Nominee for Maximus Award, 2007, 2005 Martin V. Smith Faculty Excellence and Innovation Grant, CSU Channel 2004 05 Islands Outstanding Graduate Student Instructor Award, UC Berkeley 2002 Honorable Mention, National Science Foundation Graduate Fellowship 1997 Walter S. Barr Fellowship 1996 98 Graduate Division Fellowship, UC Berkeley 1996 97 Conferences Biring and plethory structures on integer-valued polynomial rings 29 Nov 2010 Third International Meeting on Integer-Valued Polynomials and Problems in Commutative Algebra Marseille, France Abstract ideal theory, ideal systems, and semistar operations 20 May 2010 Rome Commutative Ring Theory Days 2010 Rome, Italy Functorial properties of star operations 30 Oct 2009 2009 Fall Southeastern Meeting of the AMS Boca Raton, FL Integer-valued polynomial rings and t-linked extensions 24 Jun 2008 2008 Fez Conference on Commutative Algebra and Applications Fez, Morocco Universal characterizations of integer-valued polynomial rings 11 Jun 2007 Abelian Groups and Modules over Commutative Rings University of Connecticut Universal properties of integer-valued polynomial rings 8 May 2005 Nebraska Commutative Algebra Conference University of Nebraska, Lincoln Binomial rings 1 Oct 2004 International Symposium on Commutative Rings and Monoids Universität Graz Constructing Witt-Burnside rings 15 Jan 2003 2003 Joint Mathematics Meetings, Sessions on Number Theory Baltimore, MD
Seminars and Colloquia Quantales and applications to ring theory 2 Mar 2011 San Francisco State University t-closure and integer-valued polynomial rings 22 Oct 2010 University of Utah Quantales and applications to ring theory 16 Sep 2010 New Mexico State University t-closure and integer-valued polynomial rings 15 Sep 2010 New Mexico State University Rings of integer-valued polynomials 25 Feb 2008 University of California, Los Angeles A functorial approach to integer-valued polynomial rings 13 Nov 2006 University of California, Santa Barbara Formal Dirichlet series and zeta functions of schemes 1 Dec 2005 University of California, Irvine Witt vectors, arithmetic functions, and formal Dirichlet series 4 Nov 2005 Generalized Witt vectors 17 Oct 2003 Arithmetic and Geometry Seminar University of California, Santa Barbara Witt-Burnside rings 9 May 2003 University of California, Santa Cruz Generalized Witt vectors 26 Apr 2002 Generalized Witt vectors from profinite groups 26 Oct 2001 Netherlands Intercity Universiteit Leiden Expository Talks Introduction to quantales 25 Mar 2011 Joint Math Meeting of Uni Padova and Università degli Studi di Padova Introduction to integer-valued polynomial rings 21 Mar 2011 Joint Math Meeting of Roma Tre and Università degli Studi Roma Tre Generalizations of Dedekind domains 25 Jun 2009 Summer Pomona College Integer-valued polynomial rings 31 May 2007 CSUCI/Uniwersytet Warszawski Joint Math Meeeting Uniwersytet Warszawski Infinity: a panel discussion 1 May 2007 Integer-valued polynomial rings 11 Apr 2007
CSU Dominguez Hills Integer-valued polynomial rings 21 Feb 2007 Claremont Colleges Claremont McKenna College Polynomials in commutative algebra 24 Mar 2006 Centro de Investigación en Matemáticas Universidad Autónoma del Estado de Hidalgo Introduction to Dirichlet series and Riemann s zeta function 30 Nov 2005 Mathematics & Computer Science Graduate Seminar The science, art, and philosophy of mathematics 12 May 2005 Faculty Lecture Series Introduction to binomial rings 12 Feb 2004 CSUCI/CLU/Pepperdine Joint Mathematics Seminar Teaching Experience California State University, Channel Islands, Associate Professor of Mathematics Math 393 Abstract Algebra F04 10 Math 499 Senior Colloquium F07 10, S06 07, F03 04 Math 150 Calculus 1 S11, F10, S10, S07, F03 Math 482 Number Theory and Cryptography S10, S06 08, S04 Math 438 Philosophy of Mathematics S11, F09, S08, S05 06 Math 513 Advanced Algebra (graduate level) S09, F07, F05 Univ 392 International Experiences S11, Summer 08 Math 399 Modern Tools in Mathematics F07 08 Math 497 Directed Studies S08, F05 Math 300 Discrete Mathematics S04 05 Univ 498 Faculty-Student Collaborative Research S09 Math 240 Linear Algebra F08 Math 599 Graduate Seminar S08 Math 582 Number Theory (graduate level) F06 Math 318 Math for Secondary School Teachers S04 University of California, Los Angeles, Lecturer Math 33A Linear Algebra Summer 2009, Instructor Math 1B Calculus 2 Summer 2007 Math 115 Introduction to Number Theory Summer 2002 Math 1A Calculus 1 Summers 1999 2001 Advisees James M. McDonough 2009 11 M.S. in Mathematics,, 2011 Master s thesis: Integral domains arising as quotient rings of Z[[x]] Professional Service American Mathematical Society Reviewer for Mathematical Reviews 2007 11
International Electronic Journal of Algebra Referee Sep Nov 2008 California State University, Channel Islands Service to the Mathematics Department Mathematics Program Personnel Committee on Retention, 2009 present Tenure, and Promotion Mathematics Discipline Search Committee 2011 present, 2004 08 Developmental Mathematics Co-Coordinator 2009 present Putnam Mathematical Competition Preparation Coach 2008 11, 2003 06 Mathematics Program Assessment Coordinator 2005 09 Mathematics Undergraduate Colloquium Organizer F07 10, S06 07, F04 Mathematics Graduate Seminar Organizer S08 Mathematics Course Development 2006 07 Course revisions and development of Philosophy of Mathematics Coauthor of Master of Science in Mathematics 2003 05 Developmental Mathematics Coordinator 2003 05 Math Club Faculty Advisor 2003 04 Service to the University Academic Senate 2003 present Program Assessment and Review Committee 2006 present Philosophy Program Development Team 2007 present Coauthor of Philosophy Program 2008 present Fiscal Policies Committee 2009 11 Faculty Development Advisory Committee 2006 08 Co-Chair 2007 08 WASC Accreditation Committee 2004 07 Lunchtime Concert Series pianist and organizer 2006 07, S06 Faculty Development Director Search Committee 2006 07 Performing Arts Discipline Search Committee 2005 06 Student Academic Policies and Procedures Committee 2004 06 Co-Chair 2005 06 Liberal Studies Advisory Committee 2003 06 Assessment Plan Preparation Program 2004 05 President s Commission on Human Relations, Diversity, and Equity 2003 05 Instructionally Related Activities Committee F04, 2003 04 Office of Research and Sponsored Programs Advisory Committee 2003 04