Lectures

2004 - MAA Hedrick Lecture slides - "Ramanujan Graphs and the Ramanujan Conjectures"
[ Ramanujan_Graphs_and_the_Ramanijan_Conjectures-Hedrick-Lectures-2004.pdf ]
2006 - H. Rademacher Lectures in Mathematics
[ rademacher1.pdf ]
2007 - MAA Garden State Lecture - "Primes and Orbits"
(MAA Garden State Undergraduate Mathematics Conference, March 31, 2007)
[ Primes_and_Orbits.pdf ]
2007 - PIMS 10th Anniversary Lecture:"Equidistribution and Primes"
(Jean-Pierre Bourguignon 60th Birthday)
[ EquidPrimes.pdf ]
2009 - MAA Lecture - "Integral Apollonian Packings"
[ InternalApollonianPackings09.pdf ]
2010 - Affine Sieve Lecture slides
(IAS, June 2010)
[ Affine sieve summer 2010.pdf ]
2010 - "Mobius randomness and dynamics" lecture slides
(IAS, June 2010)
[ Mobius lectures Summer 2010.pdf ]
2010 - Dartmouth Lectures slides - "Mass equidistribution and zeros/nodal domains of modular forms"
[ Dartmouth July 2010.pdf ]
2011 - Clay Lecture slides - "Thin Groups and the Affine Sieve"
[ thin groups and the affine sieve 1.pdf ]
2011 - Three Lectures on the Mobius function randomness and dynamics (Lecture 1)
[ MobiusFunctionsLectures(2).pdf ]
2011 - Mahler Lecture Tour (Australia)
2014 - King's College London & Cape Town Lectures - "Number Theory and the Circle Packings of Apollonius"
[ Johannesburg_July_2014.pdf ]
2015 - ICERM lecture - "Some challenges for computing automorphic forms and their L functions"
[ ICERM Nov 2015.pdf ]
2015 - Oklahoma & Stanford Lectures - "Sums of Squares and Golden Gates"
[ Sum of squares and golden gates ]
2015 - Rome & Lyon/GHYS Conference - "The Affine Sieve Markoff Triples and Strong Approximation"
[ GHYS 2015 ]
2015 - Waterloo & ICERM Lectures - "Solovay Kitaev Theorem and Golden Gates"
[ Waterloo lecture.pdf ]
2017 - Zurich Colloquium - "Integer Points on Affine Cubic Surfaces"
[ Zurich Colloquium 2017 ]
2017 - Zurich Lecture - "Topologies of the zero sets of random real projective hypersurfaces and monochromatic random waves"
[ Zurich December Lecture ]
2019 - Ahlfors Lectures, Harvard University
[ Applications of points on subvarieties of tori ], [ Integer points on affine cubic surfaces ]
2019 - Melrose conference MSRI/Berkeley - "Spectra of metric graphs and summation formulae"
[ berkeley Oct 19 (1).pdf ]
2019 - Memorial conference for I. Piatetski-Shapiro - "An underdetermined matrix moment problem and its applications to computing zeros of L-functions"
[ israel lecture underdetermined 2019 (2).pdf ]
2020 February - Localization of waves; Simon's Foundation - "The topologies of nodal sets of monochromatic random waves"
[ localization of waves simons feb 2020.pdf ]
2023 - Chern Lectures Berkeley - "Prescribing the Spectra of Locally Uniform Geometries"
[ Chern Lecture 1.pdf ], [ Chern Lecture 1 Added Notes ], [ Chern Lecture 2.pdf ], [ Chern Lecture 1 - addition 2 - Minkowski ]