Giles Auchmuty
Professor of Mathematics - University of Houston

Office Location: PGH 696
Telephone: (713) 743-3475
Fax: (713) 743-3505

Physical, and mail, address is
University of Houston
Department of Mathematics
4800 Calhoun Ave,
Houston, TX 77204-3008


         In Fall 2015 I will teach M3340, Introduction to Fixed Income Mathematics. The syllabus for this course is available on the Math department web-site. The course will cover much of the material required for one of the
actuarial examinations as well as providing an introduction to the calculation of many standard financial models.
Students will use spreadsheets to solve the problems.

Research Interests:

        My research is currently supported by NSF award DMS 1108754 to study "Steklov spectra and Div-curl analysis".   Maxwell's equations are the most important examples of div-curl systems. See the link to Research for more information.  This work is theoretical mathematics, involving convex and functional  analysis, partial differential equations and variational principles. There are related computational questions that could be of great  interest as research projects including some that do not require a lot of mathematical knowledge.

        For a listing of recent papers see Recent Publications.
        For a full listing of research papers, arranged by topic, see Scientific Publications.
        See also Reviews from MathSciNet.

Research Students and Projects:    

      Here is a listing of  Ph.D. graduates whose theses I  have supervised. Currently Juan F. Lopez and Pablo Lopez are pursuing research projects with me. I have supervised many M.S. theses and some undergraduate honors students on a variety of mathematical  topics. If you are interested in studying  problems that involve partial differential equations or the calculus of variations - especially ones that arise from applications - feel free to contact me about possible projects.


              Received  an undergraduate degree in pure and applied mathematics from the Australian National University and S.M. and Ph.D. degrees from the University of Chicago in applied mathematics. Held positions at SUNY, Stony Brook and Indiana University, Bloomington before coming to UH as a Professor of Mathematics in 1982. Was President of UH Faculty Senate in 2004 and has served on many departmental, college and UH search and other  advisory committees.

           Have held visiting positions at the University of Bonn, Oxford University, University of Sydney, the Fields Institute in Toronto and the Institute for Advanced Studies, Princeton amongst others. Elected Fellow of the Australian Mathematical Society in 2015.  Was a Program Director in the Division of Mathematical Sciences of NSF in 2005-2007. 
Have served on many national award and review panels  including, currently, for  Fulbright awards in Mathematical Sciences. 


        Currently I am on the editorial board of the SIAM Journal of Mathematical Analysis (SIMA).   For information on SIMA please go to the SIAM website

        I am also on the board of Nonlinear Analysis and Differential Equations, published by Hikari Press and of the  Electronic Problems section, SIAM Review.

        This section associated with SIAM Review welcomes unsolved problems in applied and applicable mathematics. Contributors should send proposed problems to Cecil C Rousseau. If you can solve posted problems please let the proposer and SIAM know about your solutions.


Current Address: Department of Mathematics, PGH Building, University of Houston, Houston, Texas 77204-3008
Phone(UH): (713) 743-3500 - Fax(UH): (713) 743-3505