Talks

Slides from recent talks that I have given for a variety of different audiences:

Research Talks

• Salem numbers and short geodesics
• Sumar mu(n): un algoritmo elemental más rápido (transparencias en Castellano/slides in Spanish)
• Summing mu(n): an even faster elementary algorithm
• Sumas de divisores (transparencias en Castellano/slides in Spanish)
• Counting and effective rigidity in algebra and geometry 
• Counting quaternion algebras
• Espacios entre primos (transparencias en Castellano/slides in Spanish)
• Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds
• Divisor-sum fibers
• Bounded gaps between primes
• Abelian surfaces over finite fields with prescribed groups
• The sign changes of Fourier coefficients of Eisenstein series
• How often is #E(F_p) squarefree?
• On the degrees of divisors of x^n-1

Undergraduate Talks

• Twin primes and their kin
• Curious patterns in the divisors of x^n-1
• Number Theory and Security in the Digital Age
• Bertrand's Postulate

Pedagogy Talks

• Flipping the classroom in an upside down world 
• Flipping the classroom (without turning your life upside down)
• ​IBL number theory with n students (for large values of n)
• "I did it my way": making undergraduate research work for you​