Christopher Henderson


University of Arizona

Department of Mathematics
617 N. Santa Rita Ave
Tucson, AZ 85721



Office: Math 601
E-mail Address: ckhenderson [at] math.arizona.edu
Phone: (520) 621-6876



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About
Current Position:
Assistant professor, University of Arizona.

Previous Positions:
LE Dickson Instructor, University of Chicago (2016-2019)
LabEx MILYON post-doc, UMPA / ENS de Lyon (2015-2016)

Education:
Stanford University (2010-2015), Advisor: Lenya Ryzhik

Research:
Broadly my research is in applied analysis and partial differential equations for models arising in the physical, biological, and social sciences as well as engineering.


Publications and Preprints
  1. Slow and fast minimal speed traveling waves of the FKPP equation with chemotaxis
    Submitted
  2. Long-time behavior for a nonlocal model from directed polymers
    (with Gu) Submitted
  3. The speed of traveling waves in a FKPP-Burgers system
    (with Bramburger) Accepted, Arch. Ration. Mech. Anal.     [Code Repository]
  4. The Bramson delay in a Fisher-KPP equation with log-singular non-linearity
    (with Bouin) Submitted
  5. Self-generating lower bounds and continuation for the Boltzmann equation
    (with Snelson, Tarfulea) Calc. Var. Partial Differential Equations, 2020
  6. A PDE hierarchy for directed polymers in random environments
    (with Gu) Submitted
  7. Local well-posedness of the Boltzmann equation with polynomially decaying initial data
    (with Snelson, Tarfulea) Kinet. Relat. Models, 2020
  8. Local solutions of the Landau equation with rough, slowly decaying initial data
    (with Snelson, Tarfulea) Ann. Inst. H. Poincaré Anal. Non Linéaire, 2020.
  9. Non-local competition slows down front acceleration during dispersal evolution
    (with Calvez, Mirrahimi, Turanova (and a numerical appendix by Dumont)) Submitted
  10. Brownian fluctuations of flame fronts with small random advection
    (with Souganidis) Math. Models Methods Appl. Sci., 2020.
  11. Local existence, lower mass bounds, and a new continuation criterion for the Landau equation
    (with Snelson, Tarfulea) J Differential Equations, 2019
  12. The Bramson delay in the non-local Fisher-KPP equation
    (with Bouin, Ryzhik) Ann. Inst. H. Poincaré Anal. Non Linéaire, 2019.
  13. Propagation in a Fisher-KPP equation with non-local advection
    (with Hamel) J. Funct. Anal., 2020
  14. C smoothing for weak solutions of the inhomogeneous Landau equation
    (with Snelson) Arch. Ration. Mech. Anal, 2019
  15. The reactive-telegraph equation and a related kinetic model
    (with Souganidis) NoDEA, 2017
  16. Thin front limit of an integro--differential Fisher--KPP equation with fat--tailed kernel
    (with Bouin, Garnier, Patout) SIAM J. Math. Anal., 2018
  17. Super-linear propagation for a general, local cane toads model
    (with Perthame, Souganidis) Interface Free Bound., 2018
  18. Influence of a mortality trade-off on the spreading rate of cane toads fronts
    (with Bouin, Chan, Kim) Comm. Partial Differential Equations, 2018
  19. The Bramson logarithmic delay in the cane toads equation
    (with Bouin, Ryzhik) Q. Appl. Math., 2017
  20. Super-linear spreading in local bistable cane toads equations
    (with Bouin) Nonlinearity, 2017
  21. Ricci curvature bounds for weakly interacting Markov chains
    (with Erbar, Menz, Tetali) Electron. J. Probab. 2017, 2017
  22. Super-linear spreading in local and non-local cane toads equations
    (with Bouin, Ryzhik) J. Math. Pures Appl., 2017
  23. Propagation of solutions to the Fisher-KPP equation with slowly decaying initial data
    Nonlinearity, 2016
  24. Equivalence of a mixing condition and the LSI in spin systems with infinite range interaction
    (with Menz) Stoch. Proc. Appl., 2016
  25. Stability of Vortex Solutions to an Extended Navier-Stokes System
    (with Gie, Iyer, Kavlie, Whitehead) Commun. Math. Sci., 2016
  26. Population Stabilization in Branching Brownian Motion with Absorption
    Commun. Math. Sci., 2016
  27. Pulsating Fronts in a 2D Reactive Boussinesq System
    Comm. Partial Differential Equations, 2014
  28. Propagation Phenomena in Reaction-Advection-Diffusion Equations
    PhD Thesis (NOTE: All work presented in this thesis is now also contained in other published work)

Teaching

Extra
A long time ago (at the beginning of grad school), I wrote up a short proof that measurable functions that are additive on the rationals are additive on the reals. Since it has been referred to a few times on MathOverflow posts, I have been asked to continue hosting it. Here is it.