Talks

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

Research Talks

• Mahler measure and manifolds
• Preimages of the sum of proper divisor function
• Sums of proper divisors with missing digits
• Salem numbers and short geodesics
• Summing mu(n): an even faster elementary algorithm
  
• Counting and effective rigidity in algebra and geometry 
• Counting quaternion algebras
  
• 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

Charlas en español

• Sumar mu(n): un algoritmo elemental más rápido
  
• Sumas de divisores 
• Espacios entre primos 
  

Undergraduate Talks

• An efficient algorithm for summing values of arithmetic functions
• 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​

Career Talks

• My (somewhat windy) mathematical journey