David Mildebrath

Contact: dtm3 "at" rice.edu
I am a Ph.D. candidate in the Department of Computational and Applied Mathematics at Rice University in Houston, TX, and a United States Department of Defense National Defense Science and Engineering Graduate Fellow. My research focus is Operations Research, the mathematical study of decision making. In particular, I am interested in
  1. Mixed integer convex programming
  2. Stochastic linear and integer programming
  3. Markov decision processes and dynamic programming
I am also interested in software for numerical optimization and improving pedagogy in optimization.
Education
Rice University | Ph.D. in Applied Mathematics ( Exp. 2021 )
NDSEG Graduate Fellow
Advised by Dr. Andrew Schaefer

Rice University | M.A. in Applied Mathematics ( 2018 )
Thesis: Optimizing Waitlist Composition from the Transplant Center's Perspective
Advised by Dr. Andrew Schaefer

The University of Alabama | B.S. in Physics and Pure Mathematics ( 2016 )
Summa cum Laude, with Honors ( GPA 4.29/4.33 )
Publications
An Integer Program and New Lower Bounds for Computing the Strong Rainbow Connection Numbers of Graphs [ arXiv ]
L. Smith, D. Mildebrath, I. Hicks

Relating Single-Scenario Facets to the Convex Hull of the Extensive Form of a Stochastic Single-Node Flow Polytope [ Optimization Online | Operations Research Letters]
D. Mildebrath, V. Gonzalez, M. Hemmati and A. Schaefer
Operations Research Letters (2020)

Optimizing Lung Transplantation Waitlist Composition from the Transplant Program's Perspective
D. Mildebrath, T. Lee, S. Sinha, A. Schaefer and A. Gaber
Operations Research (under revision 2020)

Optimal Jersey Retirement in the National Basketball Association [ IISE Transactions ]
D. Mildebrath, W. Knight and A. Schaefer
IISE Transactions (2020)

Computational Investigation of Half-Heusler Compounds for Spintronics Applications [ arXiv | APS ]
J. Ma, V.I. Hedge, K. Munira, Y. Xie, S. Keshavarez, D. Mildebrath, C. Wolverton, A.W. Ghosh and W.H. Butler
Physical Review B (2017)

Ultraluminous X-Ray Bursts in Two Ultracompact Companions to Nearby Elliptical Galaxies [ arXiv | Nature ]
J.A. Irwin, W.P. Maksym, G.R. Sivakoff, A.J. Romanowsky, D. Lin, T. Speegle, I. Prado, D. Mildebrath, J. Strader, J. Liu and J.M. Miller
Nature (2016)
Awards and Honors
Rice Univ. Graduate Teaching Award for Student Support 2020
INFORMS Bonder Scholar
Applied Operations Research in Health Services2019
US Department of Defense NDSEG Fellow 2017
US National Science Foundation NSF-GRFP Winner 2017
Univ. Alabama Distinguished Scholar Award 2016
Univ. Alabama Department of Physics Outstanding Senior 2016
National Merit Scholar Finalist 2012
Technical Skills
General Programming Languages (Ordered by experience)
Python | Java | C++ | C | Bash
Mathematical Software
Matlab | Julia | Mathematica | Gurobi
Other Tools
Linux | LaTeX | HTML/CSS | Microsoft Office