Welcome! I'm Shivani. I am currently an Applied and Interdisciplinary Mathematics Ph.D. student at the University of Michigan working with Professor Silas Alben. In our colloquial interactions with fluids, they behave in seemingly sporadic ways. But, we can actually model these types of behaviors mathematically and I find that fascinating! Currently, I am studying optimal channel shapes and fluid flows for heat transfer in 2D non-uniform channels; this involves concepts from physics, mathematics, and optimization theory.
Education:
Ph.D. (Applied and Interdisciplinary Mathematics) University of Michigan (2023 - TBD)
M.S. (Applied and Interdisciplinary Mathematics) University of Michigan (2021 - 2023)
B.A. (Applied Mathematics) University of California, Berkeley (2015 - 2019)
Teaching at the University of Michigan:
Math 105 (Pre-Calculus) (Fall 2022)
Math 115 (Calculus I) (Fall 2021, Fall 2023)
Math 116 (Calculus II) (Winter 2022)
Mental Health Resources:
University of Michigan:
If you or someone you know is feeling overwhelmed, depressed, anxious, and/or in need of support, services are available. For help, contact Counseling and Psychological Services (CAPS) at (734) 764-8312 and https://caps.umich.edu/. You may also consult University Health Service (UHS) at (734) 764-8320 and https://www.uhs.umich.edu/mentalhealthsvcs, or for alcohol or drug concerns, see www.uhs.umich.edu/aodresources. For a more comprehensive listing of the broad range of mental health services available on campus, please visit: https://caps.umich.edu/article/um-mental-health-resources.
Other Resources:
Suicide prevention hotlines: https://www.nimh.nih.gov/health/topics/suicide-prevention
UC Berkeley: https://uhs.berkeley.edu/counseling/lets-talk
Contact: sprabala at umich dot edu
Office:
Department of Mathematics
2867 East Hall
Ann Arbor, MI 48014