Personal Information

My name is Scott Hottovy and I'm a Postdoctoral Researcher in the Mathematics Department at the University of Wisconsin. Currently I am working with Sam Stechmann modeling the transition to strong convection using stochastic models. 

In the Fall of 2016 I will be an Assistant Professor at the United States Naval Academy in Annapolis, MD.

I earned my Bachelor of Science with distinction at the University of Nebraska-Lincoln in May 2008. I did undergraduate research with Professor George Avalos on mathematical control theory and wrote an undergraduate thesis. I earned my Masters of Science from the University of Arizona in May 2010. My advisor was Professor Jan Wehr of the Mathematics Department at the University of Arizona. I completed and defended my dissertation titled "The Smoluchowski-Kramers Approximation for Stochastic Differential Equations with Arbitrary State Dependent Friction" and received my Ph.D. in Applied Mathematics in May 2013.


On this website you will find the details of my teaching, research, publications, and presentations.

Research Interests: 


  • Stochastic Models of Phenomena in Atmospheric Sciences, Biology, and Physics.
  • Stochastic Differential Equations.
  • Limits of Stochastic Processes.
  • Interacting Particle Systems.

  • Recent Papers: 


    • Birrell, J., Hottovy, S., Giovanni Volpe, & Wehr, J. (2016). Small Mass Limit of Langevin Equation on a Manifold. Submitted. [ArXiv]
    • Hottovy, S., McDaniel, A., & Wehr, J. (2015+). A small delay and correlation time limit of stochastic differential delay equations with state-dependent colored noise. Submitted. [ArXiv]
    • Herzog, D.P., Hottovy, S., & Volpe, G. (2016). The Small-Mass Limit for Langevin Dynamics with Unbounded Coefficients and positive friction. J. Statist. Phys. 163(3), 659-673. [ArXiv, Journal, ]
    • Hottovy, S., & Stechmann, S.N. (2015). A spatiotemporal stochastic model for tropical precipitation and water vapor dynamics. Journal of the Atmospheric Sciences, 72(12), 4721-4738. [pdf, journal]
    • Hottovy, S., & Stechmann, S.N. (2015). Threshold models for rainfall and convection: Deterministic versus stochastic triggers. SIAM J. of Appl. Math (SIAP), Vol. 75, Iss. 2, pp 861-884, (2015). [pdf, Supp. Mat., journal]
    • Hottovy, S., McDaniel, A., Volpe, G., & Wehr, J. (2014). The Smoluchowski-Kramers limit of stochastic differential equations with arbitrary state-dependent friction. Communications in Mathematical Physics, Vol. 336, Iss. 3, pp 1259-1283, (2014). [ArXiv, journal]

    Contact


    Email: shottovy (at) math (dot) wisc (dot) edu
    Office: Van Vleck Hall 725
    Office Phone: 608-263-3714
    Address:

    Department of Mathematics
    480 Lincoln Dr. 
    University of Wisconsin
    Madison, WI 53706