Aaron Robertson

Aaron Robertson

About Me

Mathematician, Professor, Musician

I am a Professor of Mathematics @ Colgate University

I started professing at Colgate University in 1999 and recently served a 3-year stint as department chair. I am now back to full time teaching.

I have authored several dozen articles and a couple of books. Currently, I am writing an under-contract book on Ramsey Theory aimed at beginning graduate students.

When not doing mathematics or teaching about mathematics, I spend my time either with my family or my bandmates or watching Colgate sporting events or recording and writing in my studio.

Teaching

Service Courses

My main service course is Introductory Statistics; however, I have taught all calculus courses, too.

Course in my Area

Combinatorics, Ramsey Theory on the Integers

Other Majors Courses

Number Theory and Mathematical Reasoning, Probability, Mathematical Statistics, Real Analysis

Thesis Course

Just a few years ago, our department implemented a thesis requirement for our majors. Since then I have directed 24 theses and am currently directed 10 more. You can view the titles of finished theses on this Colgate webpage.

Fun Facts

Students Taught

> 2000

Pages of math thrown in recycling

31,415

Songs written

64

Coffee Cups Consumed

101010

Resume

20 Years of Experience

Education

1999

Ph.D. in Mathematics

Temple University

Advisor: Doron Zeilberger

1993

B.S. in Actuarial Science

University of Michigan

I passed a few tests back then, but realized the business life was definitely not for me.

Experience

July 2012 - Current

Full Professor

Colgate University

Now I can relax 😂

July 2004 - June 2012

Associate Professor

Colgate University

I thought I was supposed to teach and do research, not service.

July 1999 - June 2004

Assistant Professor

Colgate University

With no power comes no responsibility.

Math Skills

Ramsey Theory

Combinatorics

Other Math

Coding Skills

Maple

Fortran

C

Timex Sinclair 1000

Teaching

Who put the aching in teaching?

Current Teaching

Fall 2019

Math 105: Introduction to Statistics

MWF: 10:20-11:10
300 Olin Hall
syllabus

Math 483: Research Seminar

Individual Meeting Times
219 McGregory Hall
syllabus LaTex skeleton file Weekly report template

Course I Have Taught

Research

My Publications
37. AN INTRODUCTION TO RAMSEY THEORY
Forthcoming (Late 2020 - Early 2021)
36. ZERO-SUM ANALOGUES OF VAN DER WAERDEN'S THEOREM ON ARITHMETIC PROGRESSIONS
To appear in J. Combinatorics
35. DOWN THE LARGE RABBIT HOLE
To appear in Rocky Mountain J. Math
34. ON THE DISTRIBUTION OF MONOCHROMATIC COMPLETE SUBGRAPHS AND ARITHMETIC PROGRESSIONS
Co-authors: W. Cipolli and M. Dascalu
To appear in Experimental Math
33. ZERO-SUM GENERALIZED SCHUR NUMBERS
J. Combin. and Num. Theory 10, 51-62.
32. THE DETERMINATION OF 2-COLOR ZERO-SUM GENERALIZED SCHUR NUMBERS
Co-authors: Bidisha Roy and Subha Sarkar
Integers 19, #A96
31. INTERMINGLED ASCENDING WAVE M-SETS
With C. Cremin, W. Daniel, and Q. Xiang
Discrete Math 339, 560-563.
30. A PROBABILISTIC THRESHOLD FOR MONOCHROMATIC ARITHMETIC PROGRESSIONS
J. Combin. Theory, Series A 137, 79-87
29. RAMSEY THEORY ON THE INTEGERS, Second Edition
Co-author: Bruce Landman
American Math Society, STML 73
28. COMBINATORIAL NUMBER THEORY: PROCEEDINGS OF INTEGERS CONFERENCE 2011
Co-editors: B. Landman, M. Nathanson, J. Nesetril, R. Nowakowski, and C. Pomerance
De Gruyter, Proceedings in Math
27. VAN DER WAERDEN'S THEOREM AND AVOIDABILITY IN WORDS
Co-authors: Yu-Hin Au and Jeffrey Shallit
Integers 11, #A7
26. MULTIPLICITY OF MONOCHROMATIC SOLUTIONS TO X+Y < Z
Co-authors: W. Kosek, D. Sabo, and D. Schaal
J. Combin. Theory, Series A 8, 1127-1135
25. COMBINATORIAL NUMBER THEORY: PROCEEDINGS OF INTEGERS CONFERENCE 2007
Co-editors: B. Landman, M. Nathanson, J. Nesetril, R. Nowakowski, and C. Pomerance
De Gruyter, Proceedings in Math
24. BOUNDS ON SOME VAN DER WAERDEN NUMBERS
Co-authors: Tom Brown and Bruce Landman
J. Combin. Theory, Series A 115, 1304-1309
23. SOME TWO COLOR, FOUR VARIABLE RADO NUMBERS
Co-author: Kellen Myers
Advances in Applied Math 42, 214-226
22. ON THE ASYMPTOTIC MINIMUM NUMBER OF MONOCHROMATIC 3-TERM ARITHMETIC PROGRESSIONS
Co-authors: Pablo Parrilo and Dan Saracino
J. Combin. Theory, Series A 115, 185-192
21. AVOIDING MONOCHROMATIC SEQUENCES WITH SPECIAL GAPS
Co-authors: Bruce Landman
Siam J. Discrete Math 21, 794-801
20. A METHOD FOR QUANTIFYING ROTATIONAL SYMMETRY
Co-authors: Frank Frey and Michael Bukoski
New Phytologist 175, 785-791
19. TWO COLOR OFF-DIAGONAL RADO-TYPE NUMBERS
Co-author: Kellen Myers
Electronic J. of Combinatorics 14, #R53
18. ON MONOCHROMATIC ASCENDING WAVES
Co-author: Tim LeSaulnier
Integers 7(2), #A23
17. REFINED RESTRICTED INVOLUTIONS
Co-authors: E. Deutsch and D. Saracino
European J. of Combinatorics 28, 481-498
16. ON THE DEGREE OF REGULARITY OF GENERALIZED VAN DER WAERDEN TRIPLES
With N. Frantzikinakis and B. Landman
Advance in Applied Math 37, 124-128
15. SOME NEW EXACT VAN DER WAERDEN NUMBERS
Co-authors: Bruce Landman and Clay Culver
Integers 5(2), #A10
14. RESTRICTED PERMUTATIONS FROM CATALAN TO FINE AND BACK
Sém. Lotharingien de Combin. 50, #B50G
13. RAMSEY THEORY ON THE INTEGERS
Co-author: Bruce Landman
American Math Society, STML 24
12. REFINED RESTRICTED PERMUTATIONS
Co-authors: D. Saracino and D. Zeilberger
Annals of Combinatorics 6, 427-444
11. REFINED RESTRICTED PERMUTATIONS AVOIDING SUBSETS OF PATTERNS OF LENGTH 3
Co-authors: Toufik Mansour
Annals of Combinatorics 6, 407-418
10. ON GENERALIZED VAN DER WAERDEN TRIPLES
Co-authors: Bruce Landman
Discrete Math 256, 279-290
9. NEW LOWER BOUND FORMULAS FOR SOME MULTICOLORED RAMSEY NUMBERS
Electronic J. of Combinatorics 9, #R13
8. PERMUTATIONS RESTRICTED BY TWO DISTINCT PATTERNS OF LENGTH THREE
Advances in Applied Math 27, 548-561
7. OFF-DIAGONAL GENERALIZED SCHUR NUMBERS
Co-authors: Dan Schaal
Advances in Applied Math 26, 252-257
6. DIFFERENCE RAMSEY NUMBERS AND ISSAI NUMBERS
Advance in Applied Math 25, 153-162
5. PERMUTATION PATTERNS AND CONTINUED FRACTIONS
Co-authors: Herb Wilf and Doron Zeilberger
Electronic J. Combinatorics 56, #R38
4. PERMUTATIONS CONTAINING AND AVOIDING 123 AND 132 PATTERNS
Disc. Math and Theor. Comp. Sci. 3, 151-154
3. NEW LOWER BOUNDS FOR SOME MULTICOLORED RAMSEY NUMBERS
Electronic J. of Combinatorics 6, #R3
2. A 2-COLORING OF [1,N] CAN HAVE N2/22 + O(N) MONOCHROMATIC SCHUR TRIPLES, BUT NOT LESS
Co-authors: Doron Zeilberger
Electronic J. of Combinatorics 5, #R19
1. REVIEW OF SOCIAL SECURITY FINANCING AND RELATED MATTERS
Co-authors: C. Nesbitt and F. Messner
ARCH 1993.1, 249-282

Music

                  

Some Music

My band, dangerboy, is mostly a cover band. We play alternative rock, focusing on 90s alternative. We did record some of my original songs way back in the day. Below are a couple of demos from back then.


She Falls Apart

Use Me Like You Used The Others

Available for Hire

Contact dangerboy