Masaki Kashiwara, this year’s Abel Prize winner, co-founded a new field of mathematics called algebraic analysis ...

Black hole singularities should not exist, according to theories of quantum mechanics. New tweaks to Einstein's equations of general relativity could finally do away with them, and explain what truly ...

This year, the Abel Prize — the field’s highest honor — has been awarded to Masaki Kashiwara, prolific Japanese mathematician ...

"The singularity is the most mysterious and problematic part of a black hole. It's where our concepts of space and time ...

Masaki Kashiwara has won the 2025 Abel prize, seen by some as the Nobel of mathematics, for his contributions to algebraic ...

“We proved that the Einstein field equation from general ... of general relativity and quantum physics. To link them, the ...

Physics majors only. MATH.2310 Calculus III, and MATH.2340 Differential Equations, or MATH.2360 Engineering Differential Equations, and PHYS.1440 Physics II, or PHYS.1640 Honors Physics II.

A fundamental goal of physics is to explain ... often exhibit identical mathematical descriptions. For instance, the rate of heat flow can be modeled using an equation very similar to that ...

Studying physics requires a strong background in mathematics, and students should expect to complete coursework in calculus and differential equations, for instance. Students may be able to take a ...

This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...

A fundamental goal of physics is to explain ... often exhibit identical mathematical descriptions. For instance, the rate of heat flow can be modeled using an equation very similar to that ...

Methods for solving linear, ordinary, and partial differential equations of mathematical physics. Green's functions, distribution theory, integral equations, transforms, potential theory, diffusion ...