Scholars@Duke

• Background
• 

  Education, Training, & Certifications

  • Ph.D., University of Maryland, College Park 2019
• Recognition
• 

  Awards & Honors

  • Alexander Prize for Graduate Research in Mathematics. University of Maryland, College Park. October 2019
  • Jacob K. Goldhaber Travel Grant. University of Maryland, College Park. March 2019
  • Aziz Osborn Gold Medal in Teaching Excellence. University of Maryland, College Park. April 2018
  • Patrick and Marguerite Sung Fellowship in Mathematics. University of Maryland, College Park. 2017
  • Seymour Goldberg Gold Medal (Spotlight on Graduate Research).. University of Maryland, College Park. April 2016
  • Junior Research Fellowship. Tata Institute of Fundamental Research. 2012
• Expertise
• 

  Subject Headings

  • Probability theory and stochastic processes
• Publications & Artistic Works
• 

  Selected Publications

  • Academic Articles

    • Hebbar, Pratima. “Differential Equations For Scientists and Engineers.” Physics Today 73, no. 7 (July 1, 2020): 54–55.
       Link to Item
    • Fernando, Kasun, and Pratima Hebbar. “Higher order asymptotics for large deviations – Part I.” Asymptotic Analysis, February 24, 2020, 1–39. https://doi.org/10.3233/asy-201602.
       Full Text  Open Access Copy
    • Fernando, K., and P. Hebbar. “Higher order asymptotics for large deviations - Part II.” Stochastics and Dynamics, January 1, 2020. https://doi.org/10.1142/S0219493721500258.
       Full Text  Open Access Copy
    • Hebbar, P., L. Koralov, and J. Nolen. “Asymptotic behavior of branching diffusion processes in periodic media.” Electronic Journal of Probability 25 (January 1, 2020): 1–40. https://doi.org/10.1214/20-EJP527.
       Full Text  Open Access Copy
    • Dolgopyat, D., P. Hebbar, L. Koralov, and M. Perlman. “Multi-type branching processes with time-dependent branching rates.” Journal of Applied Probability 55, no. 3 (September 1, 2018): 701–27. https://doi.org/10.1017/jpr.2018.46.
       Full Text  Open Access Copy

  • Book Reviews

    • Hebbar, Pratima. “Testing the waters of differential equations.” Physics Today. AIP Publishing, July 1, 2020. https://doi.org/10.1063/pt.3.4525.
       Full Text
• Teaching & Mentoring
• 

  Recent Courses

  • MATH 431: Introduction to Real Analysis 2021
  • MATH 731: Advanced Calculus I 2021
  • MATH 230: Probability 2020
  • MATH 356: Elementary Differential Equations 2020
  • MATH 730: Probability 2020
  • MATH 756: Elementary Differential Equations 2020
  • STA 230: Probability 2020
  • MATH 230: Probability 2019
  • MATH 730: Probability 2019
  • STA 230: Probability 2019
• Scholarly, Clinical, & Service Activities
• 

  Presentations & Appearances

  • Higher Order Asymptotics for Large Deviations. Perturbation Techniques in Stochastic Analysis and Its Applications. Centre International De Rencontres Mathematiques. March 2019  2019
  • Higher Order Asymptotics for Large Deviations. Probability Seminar. University of Washington. March 2019  2019
  • Higher Order Asymptotics for Large Deviations. Probability Seminar. Boston University. January 2019  2019
  • Higher Order Asymptotics for Large Deviations. Probability Seminar. Pennsylvania State University. January 2019  2019
  • Higher Order Asymptotics for Large Deviations. Probability/Math Finance Seminar. Carnegie Mellon University. January 2019  2019

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