RICHARD L. TAYLOR
Professor of Mathematics
will deliver the
Leonidas Alaoglu Memorial Lecture
curves and modular forms"
Abstract: I will introduce the study of rational
points on curves via some old problems. I will then focus on the special
case of elliptic curves and indicate how modular forms play an important
role in their study.
Richard Lawrence Taylor earned a B.A.
from Cambridge University in England in 1984 and his Ph.D. from
Princeton in 1988. He is now a professor at Harvard University.
Taylor is a world leader in number theory, working in the confluence of
many areas including elliptic curves, modular forms, and the
representations of Galois groups. He has several important and original
works to his credit. Besides his celebrated collaboration with Andrew
Wiles in the proof of Fermatís Last Theorem, he has contributed to the
proofs of Artinís conjecture for an infinite family of icosahedral
Galois representations and the local Langlands conjecture for GL(n),
and has also made important progress on the Fontaine-Mazur conjecture.
The Leonidas Alaoglu Memorial
Lecture was established by friends and family of the late Leonidas Alaoglu in recognition
of his great talents, distinguished contributions to mathematics, and long friendship with
Caltech. The Institute is privileged to honor his memory with a lecture each year by an