I am a fourth year PhD student at Duke University. My advisor is Alexander Dunlap. I completed my undergraduate degree at the University of Arizona and Mesa Community College.

I am broadly interested in connections between PDE and Probability. Some particular interests are:

• Critical (S)PDE

• Fluid dynamics

• Statistical mechanics

• Malliavin calculus

Fields that I admire (but have little to no experience with):

• Algebraic geometry

Email: Bryan.Castillo@duke.edu 

Google Scholar

• McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data. Bryan Castillo and Alexander Dunlap, arXiv preprint: arXiv:2509.06260

• Comparing embedded graphs using average branching distance. Levent Batakci, Abigail Branson, Bryan Castillo, Candace Todd, Erin Wolf Chambers, Elizabeth Munch, Involve Journal of Mathematics (2023)

• Fall 2024: Lab TA - Math 111 Calculus 1

• Spring 2026:  Discussion leader - Math 202 Multivariable Calculus for Economics

-Recieved the L.P. & Barbara Smith award for promise of teaching excellence

"It seems to me that you don't dare to express yourself as you feel. Be bolder. Let yourself go more. Imagine that you are at the Conservatoire, listening to the most beautiful performance in the world. Make yourself want to hear it, and then you'll hear yourself playing it right here. Have full confidence in yourself. Forget you are being listened to, and always listen to yourself. I see that timidity and lack of self confidence form a kind of armor around you; but through this armor, I perceive something else that you don't always dare to express, and so you deprive us all. When you are at the piano, I give you full authority to do whatever you want. Follow freely the ideal you've set for yourself, and which you must feel within you. Be bold and confident in your own powers and strength, and whatever you say will always be good." - Frédéric Chopin

• Adam Avilez (Mesa community college)

• Christopher Henderson (University of Maryland)

• Alexander Dunlap (Duke university)

• Tarek Elgindi (Duke university)

• Brutus Castillo-Chang (the cat)

• Hosu Chang 

• Naji Sarsam (Duke university)

• Kevin Dembski (Canadian) (UC San Diego)

• Yupei Huang (Imperial College London)

• Ye Feng (Duke university)

• Karim Shikh-Khalil (Stony Brook)

• John Brownfield (Duke university)

• Zach Turner (Duke university)

• Nikolaos Zygouras (University of Warwick)

• Sunhi Choi (University of Arizona)

• Robert Indik (University of Arizona)

• Qiudong Wang (University of Arizona)

• Lillian Pierce (Duke university)

• Jianfeng Lu (Duke university)

• Alexander Kiselev (Duke university)

• Tom Witelski (Duke university)

• Nicholas Cook (Duke university)

• Jim Nolen (Duke university)

• Jonathan Mattingly (Duke university)

• Algebraic geometers (in general)

Other people I know:

• Joel Greenfield (Duke university)

• Yinchen Luo (Duke university)

• David Koralov (Duke university)