department menu
Amber Puha, PhD

Amber Puha, PhD

Professor Department of Mathematics


Office: Craven Hall 6130
Hours: held in Craven 6242 on Mondays, 11:30 am to 12:45 pm, and Wednesdays, 2:30 pm to 3:45 pm.

Amber Puha, PhD

I joined the faculty at CSUSM in 1999 when the university was just 10 years young.  Before joining CSUSM, I earned a BA in Mathematics at UCSD in 1993 and a PhD in Mathematics at UCLA under the supervision of Professor Thomas Liggett in 1998.    My expertise is in probabilty theory and stochastic processes with a focus on the modeling and analysis of stochastic networks.  Since joining CSUSM, I have spent two full-year sabbaticals at UCSD pursuing various projects related to my research interests.  More information is available through the Research tab above.  I also spent two years as an Associate Director at the Institute for Pure and Applied Mathematics, a federally funded mathematics research institute on the UCLA campus.  I served a three-year elected term on the American Mathematical Society Council, the main governing body of the society.  I am serving on the INFORMS Applied Probability Society Prize Committee and also chairing the Institute for Mathematical Statistics Travel Awards Committee.  I am an avid surfer, having been a competitive surfer in my younger years, which has motivated me to serve as the Faculty Advisor for the CSUSM Surf Team since its inception in 2002.

Administrative Support Coordinator
Guadalupe Lopez
Email: gulopez@csusm.edu 
Phone: (760)750-8059

Links
Department of Mathematics
College of Science and Mathematics

Education

Research

My training is in probability theory, stochastic processes, and their applications. These days I primarily work in the area of stochastic processing networks. A stochastic network model captures the inherent randomness in a variety of networks, including those that arise in modern computing and communications, as well as transportation and hi-tech manufacturing. The structure of the network is typically deterministic and the service discipline is usually specified. Randomness manifests itself in customer exogenous arrival times, service times, routing, etc. In general, such networks are complicated and involve feedback and non-head-of-the-line (HL) service disciplines. Consequently, they often evade closed form analysis, and tractable approximations are needed. Fluid approximations can be regarded as first-order deterministic (dynamical systems) approximations that yield insights about average network performance. A diffusion approximation is then a second-order stochastic approximation that captures the dominant effects of randomness. My work has centered on proving such approximation theorems for a variety of non-HL service discipline that arise in modern networks. Measure-valued stochastic processes are a key tool employed in my work to handle the complex nature of these state-spaces.

Awards

  • 2015-19 NSF Grant DMS 1510198, $180,000

  • 2015-16 Presidents Outstanding Faculty Award for Scholarship and Creative Activity

  • 2007 INFORMS Applied Probability Society Best Publication Award, Co-Recipient

Publications

Click on the highlighted word to download either a PDF or Postscript Version for personal scientific non-commercial use only.

Courses

  • 2009 Greater San Diego Area Mathematics Council Outstanding Post Secondary Mathematics Teacher
  • Spring 2019

Vitae

View my CV

Service

2018-2019 Service and Committees

Surf Team

The CSUSM Surf Team was established in January 2002. It was the second Sport Club to be recognized on campus (Women's Soccer was first).  It is the longest standing Sport Club at CSUSM.  Prof. Puha has served as the Faculty Advisor since its inception.  The team competes in the NSSA College Team Season.  In 2009, the team earned its first National Championship. Campus Recreation presently oversees Sport Clubs at CSUSM.

2018 Tryouts

Contactcsusmsurf@gmail.com

Please request to be added to our email contact list to keep up with activities of the Surf Team.

More Information

2017-18 Surf Team at Tryouts

2017-18 CSUSM Surf Team