About me

I received my Ph.D. degree from the Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago on August, 2010.

 

Now I'm an Assistant Professor at the Department of Mathematics and Statistics, University of North Florida.

Curriculum Vitae

 

Teaching

Instructor:
Fall 2009	Math 210 -- Calculus III
Teaching Assistant: (Course Descriptions)
Spring 2010	Math 160 -- Finite Mathematics
Summer 2008	Math 160 -- Finite Mathematics
Spring 2008	Math 090 -- Intermediate Algebra
Fall 2007	Math 180 -- Calculus I
Summer 2007	Math 160 -- Finite Mathematics
Fall 2006	Math 118 -- Mathematical Reasoning
Spring 2006	Math 090 -- Intermediate Algebra
Fall 2005	Math 090 -- Intermediate Algebra

 

 

Research Interests

My research interests are broadly speaking in applied mathematics and applied probability, and focus on applying the asymptotic analysis and singular perturbation techniques to analyze the behavior of random systems, such as queueing systems and queueing network.

In my dissertation, I studied the asymptotic behavior of the sojourn time distribution in processor-sharing M/M/1 and M/G/1 queues under rare events, namely extremely large queue lengths, extremely long service requests and heavy traffic (where the Poisson arrival rate is nearly equal to the service rate), under the supervision of professor Charles Knessl. This is the abstract of my thesis.

 

Publications and Preprints (on arXiv)

Asymptotic Expansions for the Conditional Sojourn Time Distribution in the M/M/1-PS Queue, (with C. Knessl), Queueing Syst. 57 (2007) 157-168.

Journal link    arXiv:0907.2910v1

On Sojourn Times in the Finite Capacity M/M/1 Queue with Processor Sharing, (with C. Knessl), Oper. Res. Lett. 37 (2009) 447-450.

Journal link    arXiv:0907.2908v1

On Sojourn Times in the M/M/1-PS Model, Conditioned on the Number of Other Users, (with C. Knessl), Appl. Math. Res. Express. AMRX 2009 (2010) 142-167.

Journal link   arXiv:0902.1200v1   

Asymptotic Expansions for the Sojourn Time Distribution in the M/G/1-PS Queue, (with C. Knessl), Math. Meth. Oper. Res. 71 (2010) 201-244.

Journal link    arXiv:0902.1199v1

On a Processor Sharing Queue That Models Balking, (with J.S.H. van Leeuwaarden and C. Knessl), to appear in Math. Meth. Oper. Res. (2010).

Journal link   arXiv:0905.3700v1  

 

Talks

• On Sojourn Times in the Finite Capacity M/M/1 Queue with Processor Sharing   
  AMS Joint Mathematics Meeting, San Francisco, CA, Jan. 2010.

  On Sojourn Times in the M/M/1-PS Model, Conditioned on the Number of Other Users  

  Fields-MITACS Summer School in Applied Probability, Carleton University, Ottawa, Canada, May 2009.

  The Conditional Sojourn Time Distribution in the M/M/1-PS Queue  

  Mathematics and Applications Seminar, University of Illinois, Chicago, Oct. 2008.

  Asymptotic Expansions for the Sojourn Time Distribution in the Processor Sharing Queue

  SIAM Annual Meeting, San Diego, CA, Jul. 2008.

  The Sojourn Time Distribution in the M/M/1-PS Queue Conditioned on the Service Time

  SIAM Student Chapter Student Day, University of Illinois, Chicago, May 2008.

 

 

Honors and Awards

• Dean's Scholar Award, University of Illinois, Chicago, Aug. 2008 - July 2009
  One-year fellowship presented by the Dean of the Graduate College in recognition of a student's scholarly achievement.
• Victor Twersky Memorial Scholarship in Applied Mathematics, University of Illinois, Chicago, May 2008

 

Useful Links

• SIAM Student Chapter at UIC
• Myron Hlynka's Queueing Theory Page
• The Young Mathematicians' Network -- Issues of concern to mathematicians at the beginning of their careers
• Actuarial Outpost -- Actuarial Discussion, Actuary Jobs, Links and more