WAM 2026

event

WAM 2026

May 22, 2026 | 11:00am - 12:00pm

Add to calendar 05/22/2026 11:00 05/22/2026 12:00 WAM 2026 use-title Topic: What KdV Teaches us About Waves Speakers: Monica Visan, UCLA More: https://www.ias.edu/math/wam/events/wam-2026-6 Abstract: In this course, we will use the Korteweg-de Vries equation as a model to understand the behavior of dispersive partial differential equations. Through this lens, we will discuss dispersion, well-posedness, and solitons. We will also discuss the existence of a Lax pair for this equation and how this informs our understanding of the complete integrability of this model. Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Abstract: In this course, we will use the Korteweg-de Vries equation as a model to understand the behavior of dispersive partial differential equations. Through this lens, we will discuss dispersion, well-posedness, and solitons. We will also...

event

WAM 2026

May 22, 2026 | 9:30am - 10:30am

Add to calendar 05/22/2026 09:30 05/22/2026 10:30 WAM 2026 use-title Topic: From Fourier Restriction to Number Theory, Combinatorics, and Fractal Geometry Speakers: Dominique Maldague, Cambridge University and UCLA More: https://www.ias.edu/math/wam/events/wam-2026-2 Abstract: Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series, giving rise to a more geometric view of the underlying functions. We will discuss how to use this perspective to study diverse problems, like the distribution of prime numbers, size of arithmetic progressions in sets, and the Kakeya problem in fractal geometry. Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Abstract: Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series...

event

WAM 2026

May 21, 2026 | 5:00pm - 6:00pm

Add to calendar 05/21/2026 17:00 05/21/2026 18:00 WAM 2026 use-title Topic: On Superorthogonality Speakers: Lillian Pierce, Duke University More: https://www.ias.edu/math/wam/events/wam-2026-7 Abstract: How do we check if two vectors are orthogonal? We compute their dot product, which by definition takes two vectors as inputs. How do we check if two functions are orthogonal? We compute their inner product, which by definition takes two functions as inputs. Why only two? What would it mean for 4 functions to be “orthogonal”? Or 8 functions? Or 7 functions? Let’s call this superorthogonality. What can we deduce about collections of functions that are superorthogonal? We will explore how accidental encounters with papers spanning 90 years led to a systematic investigation of these questions, and a way to see that previously “unrelated” theorems in harmonic analysis and number theory share a very interesting structure deep under their surface. Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Abstract: How do we check if two vectors are orthogonal? We compute their dot product, which by definition takes two vectors as inputs. How do we check if two functions are orthogonal? We compute their inner product, which by definition takes two...

event

WAM 2026

May 21, 2026 | 11:00am - 12:00pm

Add to calendar 05/21/2026 11:00 05/21/2026 12:00 WAM 2026 use-title Topic: What KdV Teaches us About Waves Speakers: Monica Visan, UCLA More: https://www.ias.edu/math/wam/events/wam-2026-5 Abstract: In this course, we will use the Korteweg-de Vries equation as a model to understand the behavior of dispersive partial differential equations. Through this lens, we will discuss dispersion, well-posedness, and solitons. We will also discuss the existence of a Lax pair for this equation and how this informs our understanding of the complete integrability of this model. Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Abstract: In this course, we will use the Korteweg-de Vries equation as a model to understand the behavior of dispersive partial differential equations. Through this lens, we will discuss dispersion, well-posedness, and solitons. We will also...

event

WAM 2026

May 21, 2026 | 9:30am - 10:30am

Add to calendar 05/21/2026 09:30 05/21/2026 10:30 WAM 2026 use-title Topic: From Fourier Restriction to Number Theory, Combinatorics, and Fractal Geometry Speakers: Dominique Maldague, Cambridge University and UCLA More: https://www.ias.edu/math/wam/events/wam-2026-1 Abstract: Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series, giving rise to a more geometric view of the underlying functions. We will discuss how to use this perspective to study diverse problems, like the distribution of prime numbers, size of arithmetic progressions in sets, and the Kakeya problem in fractal geometry. Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Abstract: Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series...

event

WAM 2026

May 19, 2026 | 11:00am - 12:00pm

Add to calendar 05/19/2026 11:00 05/19/2026 12:00 WAM 2026 use-title Topic: What KdV Teaches us About Waves Speakers: Monica Visan, UCLA More: https://www.ias.edu/math/wam/events/wam-2026-4 Abstract: In this course, we will use the Korteweg-de Vries equation as a model to understand the behavior of dispersive partial differential equations. Through this lens, we will discuss dispersion, well-posedness, and solitons. We will also discuss the existence of a Lax pair for this equation and how this informs our understanding of the complete integrability of this model. Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Abstract: In this course, we will use the Korteweg-de Vries equation as a model to understand the behavior of dispersive partial differential equations. Through this lens, we will discuss dispersion, well-posedness, and solitons. We will also...

event

WAM 2026

May 19, 2026 | 9:30am - 10:30am

Add to calendar 05/19/2026 09:30 05/19/2026 10:30 WAM 2026 use-title Topic: From Fourier Restriction to Number Theory, Combinatorics, and Fractal Geometry Speakers: Dominique Maldague, Cambridge University and UCLA More: https://www.ias.edu/math/wam/events/wam-2026-0 Abstract: Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series, giving rise to a more geometric view of the underlying functions. We will discuss how to use this perspective to study diverse problems, like the distribution of prime numbers, size of arithmetic progressions in sets, and the Kakeya problem in fractal geometry. Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Abstract: Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series...

event

WAM 2026

May 18, 2026 | 11:00am - 12:00pm

Add to calendar 05/18/2026 11:00 05/18/2026 12:00 WAM 2026 use-title Topic: What KdV Teaches us About Waves Speakers: Monica Visan, UCLA More: https://www.ias.edu/math/wam/events/wam-2026-3 Abstract: In this course, we will use the Korteweg-de Vries equation as a model to understand the behavior of dispersive partial differential equations. Through this lens, we will discuss dispersion, well-posedness, and solitons. We will also discuss the existence of a Lax pair for this equation and how this informs our understanding of the complete integrability of this model. Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Abstract: In this course, we will use the Korteweg-de Vries equation as a model to understand the behavior of dispersive partial differential equations. Through this lens, we will discuss dispersion, well-posedness, and solitons. We will also...

event

WAM 2026

May 18, 2026 | 9:30am - 10:30am

Add to calendar 05/18/2026 09:30 05/18/2026 10:30 WAM 2026 use-title Topic: From Fourier Restriction to Number Theory, Combinatorics, and Fractal Geometry Speakers: Dominique Maldague, Cambridge University and UCLA More: https://www.ias.edu/math/wam/events/wam-2026 Abstract: Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series, giving rise to a more geometric view of the underlying functions. We will discuss how to use this perspective to study diverse problems, like the distribution of prime numbers, size of arithmetic progressions in sets, and the Kakeya problem in fractal geometry. Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Abstract: Fourier series are classically used to construct solutions to partial differential equations such as the wave and Schrödinger equations. In Fourier restriction theory, additional conditions are imposed on the frequencies of these series...