Keith Conrad

Job coordinates

Office: MONT 234

E-mail: kconrad at math dot uconn dot edu.

How to reach the UConn math department by car.

Published papers

Expository papers

UConn Math Club

MathSciNet

Number theory web

JSTOR

Numdam

The GTM test

Greek alphabet review for reading and writing in math (a practice sheet)

A parody of Green Eggs and Ham by Kevin Wald

A parody of a (once) popular song.

Another song parody, about chemical elements.

Analysis in popular media

Read very carefully the course description of MAT 311 here. (This is not made up.)

An interesting lesson in probability. The start of this page indicates the story is not made up.

Another lesson in probability. (The event described there took place on March 3, 1983. Go to the end of this page for more.)

Summer program courses and talks

Prime Factorization from Euclid to Noether (Number Theory Day, March 1 2023): Slides

L-functions and the Riemann Hypothesis (Dubna, Summer 2018): Lecture 1, 2, 3, 4

L-functions and the Riemann Hypothesis (CTNT, Summer 2018): Lecture 1, 2, 3, 4. A separate lecture: Largest Known Prime Number.

The Loss and Rescue of Unique Factorization (Dubna, Summer 2017): Lecture 1, 2, 3, 4

Prime Numbers: What is Known and Unknown (Number Theory Day, March 30 2017): Slides

Patterns in Primes (Ross program, Summer 2016)

Introduction to Modular Forms (CTNT, Summer 2016): Lecture 1 part 1 and part 2, Lecture 2 part 1 and part 2, Lecture 3 part 1 and part 2, Lecture 4 part 1 and part 2.

Modular Forms (Dubna, Summer 2016): Lecture 1, 2, 3, 4.

Primality tests (Dubna, Summer 2015): Lecture 1, 2, 3, 4.
(In the fourth lecture a team of videographers appears a little after the 43:00 mark and then sporadically through the rest of the lecture. They filmed me and the students on behalf of one of the sponsors of the summer school.)

Introduction to p-adic Numbers (Dubna, Summer 2014): Lecture 1, 2, 3, 4.

The ABC-Conjecture (Dubna, Summer 2013): Lecture 1, 2, 3, 4.

Analogies between integers and polynomials (Dubna, Summer 2012): Lecture 1, 2, 3, 4.

What is a Reciprocity Law? (Yaroslavl, Summer 2011): Lecture 1, 2, 3, 4

Number Theory in Quadratic Fields (Lisbon, Summer 2011)

Diophantine Equations (Ross program, Summer 2008)

Elliptic Curves and Arithmetic Progressions of Squares (Ross program, Summer 2007)

Sums of squares (USA/Canada Mathcamp, Summer 2005)

Quaternion algebras (Ross program, Summer 2004)

Analogies between integers and polynomials (Ross program, Summer 2003)

Zeta and L-functions (PROMYS program, Summer 2000)

• Mesmerized by a magic trick.
• Dogsitting.
• Old factorial notation.
• The garden of constants. (5 seems a bit sleepy.)
• Kazan (2012).
• Myshkin (2012).
• Russian Vending Machines.
• Nizhny Novgorod(2015) .
• Kaliningrad (2017).
• World Cup (2018).
• Dubna and visiting Shafarevich (2018).
• Suzdal (2018).
• Vladimir (2018).
• Colorado (2018).
• A car in Connecticut.
• A car near Boston.
• A commuter, not a commutator.
• A street I don't live on in Berlin. And another one in Clemson. And an avenue in Oakland.
• Numbers I don't use.
• Galois theory is a piece of cake. (I had this made for a student's 21st birthday in my Galois theory class during 2015. Note how nicely the zeta is drawn, frankly better than some students wrote it on the homework.)
• A Kubota L-series, seen near the UConn math department in 2016. You can find out more about the Kubota Standard L-series here. According to this page these L-series are compact (who knew?). I think the letter L in "L-series" stands for loader or landscaper, definitely not Langlands.
• An appliction of mathematical logic to street signs. If that Google street view link dies, a screenshot is here (look in the lower right).
• An application of advanced math to cooking. Read the label carefully. (Taken from Crisco olive oil spray.)
• A good example of bad kerning.

• Scott Aaronson
• Sean Carroll
• Henry Cohn
• Greg Kuperberg
• math.stackexchange here and here
• Terry Tao

• Theorems that turned out to be wrong
• Theorems with wrong or incomplete initial proofs
• Eventual counterexamples
• Sequences that initially agree but eventually don't

• Page about recommendation letters
• My brother's page
• Math contests
• An interesting lesson in negative numbers. (If the link is broken, go here.)
• A great optical illusion. (The figures are not really moving. This is due to Akiyoshi Kitaoka. See here for more information.)
• Another optical illusion. (Partial explanation is here.)
• A database of field extensions.
• Some html commands for special symbols, both (Roman) alphabetical and mathematical. (For a more general site, go here or here.)
• Figure out LaTeX commands for symbols by drawing the symbol here.