**
Department of Mathematics
**

Idaho State University

Email:
math@isu.edu

#### Pocatello Campus

**Math Department**

921 S. 8th Ave., Stop 8085

Pocatello, ID 83209-8085

Phone: (208) 282-3350

Fax: (208) 282-2636

Location:

Physical Science Complex

**Math Center**

921 S. 8th Ave., Stop 8180

Pocatello, ID 83209

*Tutoring:*

(208) 282-3662

Location: REND 323

*Testing:*

(208) 282-5342

Location: REND 324

*Learning Classroom:*

(208) 282-5285

Location: REND 332

#### Idaho Falls Campus

921 S. 8th Ave., Stop 8150

Pocatello, ID 83209-8150

Phone: (208) 282-7889

Fax: (208) 282-7966

Location:

Office: TAB 270

Classrooms: CHE

Math Lab

(208) 282-7925

Location: CHE 220

# Colloquium

Mr. Boris Hanin, Northwestern University

Colloquium Title: Correlations and Pairing of Zeros and Critical Points of Random Polynomials

Abstract: The Gauss-Lucas theorem states that the critical points of a
polynomial in one complex variable lie inside the convex hull of its
zeros. Motivated by this, I will present some results about the
geometry of zeros and critical points of random polynomials. I will
explain that, in fact, zeros and critical points appear in rigid
pairs, I will try to give some intuition from physics for why this
pairing should appear in the first place.