Renaud Gauthier, PhD

Associate Professor of Mathematics

School of Arts & Sciences

About Me

I joined Mary in 2016, and I teach classes ranging from college algebra to algebraic structures, going through statistics. Initially trained in physics, I progressively moved to mathematics, each step corresponding to a descent into abstraction: BS in Applied Physics (Columbia University), MA in Theoretical Physics (SUNY at Stony Brook), MA in Mathematics (SUNY at Stony Brook), PhD in Mathematics (KSU). My interest is in developing theories that model reality, including the supernatural world.

When not working, I can be found practicing Shaolin Kung Fu or Qi Gong (an advanced form thereof), spending hours in the kitchen, or poring over the writings of mystics, essential for shaping up my research program.

Why I’m At Mary

Mary is one of those very rare schools where one can work on scientific projects with a theological bent. More generally, faculty here at Mary form a cohesive community of scholars, with a common objective: investigating Truth. Students are cognizant of this fact, and are eager to learn - something we all appreciate.

Expertise

My field is primarily algebraic geometry (AG), with occasional excursions into algebraic topology. I initially started in string theory, whose language is essentially AG. After a temporary bifurcation through geometric topology for my thesis, I came back to AG, with a desire to formalize models of reality.

"A Dual Representation in Spectral Algebraic Geometry," arXiv:2006.15687[math.AG]

"Internal Bousfield Localizations," Proc. of the Exchange of Math. Ideas, 2018.

"Segal Topoi and Natural Phenomena: Universality of Physical Laws," arXiv:1803.09611[math.CT]

"Infinity Topoi and Natural Phenomena: Generation," arXiv:1802.02284[math.AG]

"Supersymmetric Derived Stacks," arXiv:1706.06391[math.AG]

"Higher Galois for Segal Topos and Natural Phenomena," Proc. of the Exchange of Math. Ideas, 2016.

Education

PhD: Kansas State University, 2011
MA: SUNY at Stony Brook, 2004, 2006