Joel Feldman, born on June fourteenth, nineteen forty-nine, is a distinguished Canadian mathematical physicist and mathematician. He pursued his studies in mathematics and physics at the University of Toronto, earning his bachelor's degree in nineteen seventy. He furthered his education at Harvard University, where he obtained a master's degree in nineteen seventy-one and a PhD in nineteen seventy-four under the supervision of Arthur Jaffe. His doctoral thesis focused on the λ·Φ34 field theory in a finite volume.
Following his graduation, Feldman conducted research at Harvard on constructive quantum field theory from nineteen seventy-four to nineteen seventy-five. He then served as a Moore Instructor at MIT from nineteen seventy-five to nineteen seventy-seven. In nineteen seventy-seven, he joined the University of British Columbia, where he progressed from assistant professor to associate professor in nineteen eighty-two, and ultimately to professor in nineteen eighty-seven.
Throughout his career, Feldman has received numerous accolades, including the John L. Synge Award in nineteen ninety-six, the CRM-Fields-PIMS Prize and the CAP-CRM Prize in two thousand seven, and the Jeffery-Williams Prize in two thousand four. He was a Killam Fellow from nineteen eighty-nine to nineteen ninety-one and a Woodrow Wilson Fellow. In two thousand seven, he was honored as a Fellow at the Fields Institute.
Feldman's research primarily focuses on constructive quantum field theory, with notable collaborations alongside Vincent Rivasseau, Konrad Osterwalder, and Manfred Salmhofer. He has also made significant contributions to the mathematical theory of Fermi liquids and Bose fluids in quantum many-body theory. His work includes the explicit construction of Fermi fluids in two dimensions at the zero temperature limit, as well as studies on Riemann surfaces of infinite genus with Horst Knörrer and Eugene Trubowitz. Additionally, he co-authored a book on inverse problems with Gunther Uhlmann.
In nineteen ninety, Feldman was elected a Fellow of the Royal Society of Canada and was an invited speaker at the International Congress of Mathematicians in Kyoto, where he presented on constructive quantum field theory. He has also delivered plenary addresses at various international conferences, including the twelfth ICMP in Brisbane in nineteen ninety-seven. In two thousand nineteen, he was elected as a fellow of the Canadian Mathematical Society. His editorial contributions include serving as editor of the Journal of Mathematical Physics from two thousand five to two thousand ten and co-editing the Annales de l'Institut Henri Poincaré since nineteen ninety-nine. Among his notable doctoral students is Gordon Slade.