91¿´Æ¬Íø

MATH 499: Great Theorems in Mathematics (Senior Seminar)
MATH 491: Tutorial (Topology)
MATH 411: Real Analysis II
MATH 375: Combinatorics
MATH 340: Geometry
MATH 331: Modern Algebra II
MATH 330: Modern Algebra I
MATH 329: Number Theory
MATH/CS 323: Cryptography
MATH 311: Real Analysis I
Math 231: Linear Algebra
MATH 230: Abstract and Discrete Mathematics
MATH 214: Differential Equations
MATH 210: Multivariable Calculus
MATH 160: Math Methods and Applications
MATH 150: Introduction to Probability and Statistics
MATH 110: Calculus I
MATH 109: Calculus 1b
MATH 108: Calculus 1a
CS 112: Introduction to Programming
FIYS 169: Recreational Mathematics
MATH 53 (Swarthmore College): Analytic Number Theory
MATH 77 (Swarthmore College): Algebraic Number Theory
MATH 27 (Swarthmore College): Linear Algebra
MATH 25 (Swarthmore College): Calculus II
MATH 20 (Dartmouth College): Discrete Probability

Travel grant from the American Mathematical Society to attend the 1st Congress of the Americas held in Guanajuato in August 2013.

Swarthmore College Research Award (2011-2013)

GAANN Fellowship (2006-2007)

Top 200 in the 66th Putnam exam, Dec. 2005

Books

. Written by Robert Bosch. Translated by Enrique Treviño. Published by XYZ Press (2017). ISBN: 978-0-9968745-4-0

Articles

31. . Published in Tzaloa (2023) no. 3, pp. 1-15.
30.  with Tom Edgar. Published in Ganit Bikash (translates to Mathematics Development) an Assamese journal, Vol. 75 (2022), pp. 38-61. The version in English is . 
29.  with M. Tian*. Electronic Journal of Combinatorics Vol. 29 (2022), no. 3, P3. 13, 13 pages (electronic).
28.  with S. J. Miller. The College Mathematics Journal, Vol. 53 (2022), no. 3, pp. 220-225.
27.  with K. McGown. Mexican Mathematicians in the World: Trends and recent contributions published by Contemporary Mathematics of the AMS (2021), pp. 205-232. 
26.  with M. Sánchez Garza*. Journal of Integer Sequences, Vol. 24 (2021), Article 21.8.5, 13 pages (electronic).
25. . Integers 21 (2021), article A79, 11 pages (electronic).
24.  with C. Banderier, C. A. Gómez Ruiz, F. Luca, and F. Pappalardi. Revista de la Unión Matemática Argentina, Vol. 62 (2021), no. 1, pp. 257-274.
23.  with M. Tian*. The College Mathematics Journal vol. 52 (2021), no. 3, pp. 219-220.
22. . Published as Chapter 30 in book "Mathematical themes in a first-year seminar" published by MAA Press (2021), pp. 301-306.
21.   with Paul Pollack. The American Mathematical Monthly vol. 128 (2021), no.1, p. 40.
20.  (with P. Pollack and D. Subramaniam*). Integers 20A ( 2020), article A15, 10 pages (electronic).
19.
American Mathematical Monthly vol. 127 ( 2020), no. 3, p. 257.
18. (with M. Zhylinski*).
Involve vol. 12 ( 2019), no. 7, pp. 1143-1151.
17. .
American Mathematical Monthly vol. 126 ( 2019), no. 9, p. 840.
16.
The College Mathematics Journal vol. 50 ( 2019), no. 1, pp. 36-40.
15.
The College Mathematics Journal vol. 49 ( 2018), no. 5, pp. 367-368.
14.
with M. Fortman*, K. Kupiec*, and M. Rawlings*. Elemente der Mathematik 73 ( 2018), no.4, 161-169.
13.
American Mathematical Monthly 125 ( 2018), no. 7, 659-659.
12. (with Paul Pollack). Integers 18A ( 2018), article A15, 16 pages (electronic).
11. (with U.C. Cengiz and P. Pollack). Finite Fields and Their Applications 47C ( 2017) pp. 242-255 DOI information: 10.1016/j.ffa.2017.05.006.
10. (with K. McGown and T. Trudgian) Functiones et Approximatio, Commentarii Mathematici 55.2 ( 2016), pp. 215-225.
9. International Journal of Number Theory Vol. 11, No. 5 ( 2015), pp. 1-26.
8. (with K. Adamczewski), Integers 15 ( 2015), 11 pages (electronic).
7. Journal of Number Theory 149 ( 2015), pp. 201-224. DOI information: 10.1016/j.jnt.2014.10.019
6. (with P. Pollack), American Mathematical Monthly 121 ( 2014), no. 5, 433-437.
5. (with P. Pollack and C. Pomerance), The Ramanujan Journal 30 ( 2013), no. 3, 379-398.
4. Moscow Journal of Combinatorics and Number Theory ( 2012), vol.2, iss. 1, pp. 56-72. Corrigendum appeared in Moscow Journal of Combinatorics and Number Theory ( 2017), vol.7, iss. 3.
3. , Mathematics of Computation, vol. 81, no. 279, July 2012, pp. 1777-1797.
2. (with J. Amos, I. Pascu, V. Ponomarenko and Y. Zhang), Involve, a Journal of Mathematics 4-2 ( 2011), 187—197.
1. (with R. Daileda, J. Jou, R. Lemke-Oliver and E. Rossolimo), J. Théor. Nombres Bordeaux 21 ( 2009), no. 3, 503—515.

The probabilistic method by Melanie Tian, 91¿´Æ¬Íø, Fall 2021.
 by William Braubach, 91¿´Æ¬Íø, Fall 2016.
 by Jacob Juillerat, 91¿´Æ¬Íø, Spring 2016.
 by Juan Ramón Camacho Cordero, Universidad de Guanajuato, 2012.

by Kevin Kupiec and Marina Rawlings, Summer 2014 (3-week project).
by Ugur Caner Cengiz, Summer 2014 (10-week project).
by Margaret Fortman, Summer 2015 (4-week project).
by Robert Mecham, Summer 2015 (10-week project).
by Noel Orwothwun, Summer 2016 (4-week project).

by Dipika Subramaniam, Summer 2018 (4-week project).

by Christian Reyes, Summer 2019 (4-week project).

by Arthur J. Brown, Summer 2019 (4-week project).

2000-2001, participated as a student. Won a gold medal at the Mexican Mathematical Olympiad in Nov. 2001.

2003-present, member of the Chihuahua Math Olympiad Committee. I have trained many students from the state of Chihuahua.

2015-present, member of the Mexican Math Olympiad Committee.

Deputy Leader of the Mexican teams participating in the sixth European Girls Mathematical Olympiad in Zurich, Switzerland from April 6, to April 12 2017, and in the eight European Girls Mathematical Olympiad in Kiev, Ukraine from April 7 to April 13, 2019.

Leader of the Mexican team participating in the seventh European Girls Mathematical Olympiad in Florence, Italy from April 9 to 15 2018.

Leader of the Mexican team participating in the Ibero American Mathematical Olympiad hosted in Guanajuato, Mexico from September 11 to September 19 2019.

Leader of the Mexican team participating in the Cyberspace Mathematical Competition from July 12 to July 21 2020.

Leader of the Mexican team at the International Mathematical Olympiad in Norway, July 2022.

Leader of the Mexican team at the Ibero Math Olympiad in Brazil, September, 2023.

Co-editor in chief of the United States Mathematical Olympiad, 2022-Present.