Current Undergraduate Research Projects

 

Student: Miguel Baza
Mentor: Oscar Vega
Dates: 
2017-18 AY
Project:
Multiplier sequences over finite fields


Students: Bradley Scott
Mentor:
Oscar Vega
Dates: 
2017-18 AY
Project:
Blocking sets of polygons and complements of hyperplane arrangements in finite projective planes

Student: Jagdeep Basi
Mentor:
Oscar Vega
Dates: 
2017-18 AY
Project:
Grim on complete multipartite graphs

Past Undergraduate Research Projects

Student: Samuel Barretto and Matthew Miyake
Mentor: Oscar Vega
Dates: 
2016-17 AY
Project:
The study of Grim on complete multipartite graphs having a singleton as one of their partitions


Students: Summer Al-Hamdani, Alexandra Leon
Mentor:
 
Tamas Forgacs
Dates: 
2016-17 AY
Project: 
Generating classical multiplier sequences using products of 
exponential factors

Student: Andres Zumba
Mentor:
 
Khang Tran
Dates: 
2016-17 AY
Project: 
Zeros of polynomial with a general four-term recurrence

Students: Andres Zumba
Mentor:
 Khang Tran
Dates: 
2015-16 AY
Project: 
Zeros of polynomial generated by the reciprocal of 1+t^2+zt^3
Main Outcome:
 Student's presentation in 37th Annual Central California Research Symposium

Student: Brennen Fagan 
Mentor:
 
Doreen De Leon
Dates: 
2015-16 AY
Project: 
On the Immunization of Small Computer Networks

Student: Aramayis Orkusyan
Mentor:
 
Doreen De Leon
Dates: 
2015-16 AY
Project: 
On the Immunization of Large Computer Networks

Students: Andrew De La Pena and Sarah McGahan
Mentor:
 
Carmen Caprau
Dates: 
2014-15 AY
Project: 
Virtual singular braids and links

Students: Brennen Fagan and Aramayis Orkusyan
Mentor:
 
Doreen De Leon
Dates: 
2014-15 AY
Project: 
Optimal inoculation schemes to prevent the spread of computer viruses in an organization

Students: Manuel Lopez and Majerle Reeves
Mentor:
 
Doreen De Leon
Dates: 
2014-15 AY
Project: 
Optimal immunization schemes for the flu vaccine

Students: Richard Adams and Janae Dixon
Mentor:
 Oscar Vega
Dates: 
2014-15 AY
Project: 
Grim on large graphs
Main Outcome:
 Adams, R.;Dixon, J.; Elder, J.; Peabody, J.; Vega, O.; Willis, K. Combinatorial Analysis of a Subtraction Game on Graphs. International Journal of Combinatorics vol. 2016, Article ID 1476359, 8 pages, 2016. https://www.hindawi.com/journals/ijcom/2016/1476359/

Students: Elaina Aceves and Jennifer Elder.
Mentor:
Carmen Caprau
Dates:
2013-14 AY
Project:
A Yang-Baxter model for specializations of the Kauffman polynomial
Main Outcome:
Presentation at the JMM in Baltimore, January 2014.

Students: Kelsey Friesen and Thoa Tran.
Mentor:
Carmen Caprau
Dates:
2013-14 AY
Project:
Invariants for virtual singular links
Main Outcome: Presentations (talk and poster) at the Central California Research Symposium, April 2014.
Best Oral Presentation by an Undergraduate Student Award.
Honorable Mention recognition for an Outstanding Poster Presentation.

Student: Serena McTeer
Mentor: Carmen Caprau
Dates: 2012-13 AY
Project: The category of sl(3) webs
Main Outcome: Presentation at the Central California Research Symposium, April 2013.

Students: Elaina Aceves and David Heywood
Mentor: Oscar Vega
Dates:
Summer 2012
Project: Embedding of cycles in PG(n,q)
Main Outcome:
Aceves, Elaina; Heywood, David; Klahr, Ashley; Vega, Oscar. Cycles in projective spaces. J. Geom.105 (2014), no. 1, 111-117.

Student: Jamie Peabody
Mentor: Oscar Vega
Dates:
Summer 2012
Project: Embeddings of cycle-related graphs in finite projective planes
Main Outcome:Peabody, Jamie; Vega, Oscar; White, Jordan. Cycles, wheels, and gears in finite planes. Contrib. Discrete Math. 8 (2013), no. 2, 75-87.
Poster presentation at the JMM in San Diego (Outstanding Poster Presentation Award winner), January 2013.

Student: James Stinecipher
Mentor: Ke Wu
Dates:
Summer 2012
Project: Assessing the risk of liver cancer in Hepatitis B patients using Survival Analysis.
Main Outcome:Poster presentation at the Central California Research Symposium (Davin Youngclarke Award for Undergraduate Research Poster).

Student: Joel Smith
Mentor: Carmen Caprau
Dates:
2012-13 AY
Project: The singular Temperley-Lieb category
Main Outcome:Caprau, Carmen; Smith, Joel. The singular Temperley-Lieb category. ISRN Geom. 2014, Art. ID 321509, 9 pp.

Students: Elaina Aceves and Jennifer Elder.
Mentor: Carmen Caprau
Dates:
2012-13 AY
Project: Invariants for spatial graphs
Main Outcome:Poster presentation at the JMM in San Diego, January 2013. Talk at the JMM in Baltimore, January 2014.

Student: Benjamin Wright
Mentor: Oscar Vega
Dates:
Fall 2012
Project: Representation of numbers and their powers in base b
Main Outcome:Poster presentation at the JMM in San Diego, January 2013.

Students: Megan Kuneli, Robyn McDonald, and Katherine Urabe
Mentor: Oscar Vega
Dates:
2011-12 AY
Project: The well-covered dimension of Cartesian products of graphs.
Main Outcome:Birnbaum, Isaac; Kuneli, Megan; McDonald, Robyn; Urabe, Katherine; Vega, Oscar. The well-covered dimension of products of graphs. Discuss. Math. Graph Theory34 (2014), no. 4, 811-827.

Students: Jamie Peabody and Karen Willis
Mentor: Oscar Vega
Dates:
2011-12 AY
Project: A subtraction game on graphs
Main Outcome:Poster presentation at the JMM in Boston, January 2012.

Student: Katherine Urabe
Mentor: Tamas Forgacs
Dates:
2011-12 AY
Project: Investigations of Legendre multiplier sequences
Main Outcome:Blakeman, Kelly; Davis, Emily; Forgacs, Tamas; Urabe, Katherine. On Legendre Multiplier Sequences,  Missouri J. Math. Sci.,24 (2012), 7-23.
Poster presentation at the JMM in Boston (Outstanding Poster Presentation Award winner), January 2012.

Student: David Heywood
Mentor: Carmen Caprau
Dates:
Spring and Fall 2012
Project: The SO(2n) Kauffman polynomial
Main Outcome:Caprau, Carmen; Heywood, David; Ibarra, Dionne. On a state model for the SO(2n) Kauffman polynomial. Involve7 (2014), no. 4, 547-563.

Students: James Tipton and Benjamin Wright
Mentor: Tamas Forgacs
Dates:
2010-11 AY
Project: Multiplier sequences for non-orthogonal bases and simple sets in general
Main Outcome:Forgacs, Tamas; Tipton, James, Wright, Benjamin. Multiplier Sequences for Simple Sets of Polynomials, Acta Math. Hungar.137 (2012), 282-295.

Student: James Tipton
Mentor: Carmen Caprau
Dates:
2010-11 AY
Project: Connections between graph theory and knot theory
Main Outcomes:Caprau, Carmen; Tipton, James. The Kauffman polynomial and trivalent graphs. To appear in Kyungpook Mathematical Journal.
Talk at the Central California Research Symposium (Outstanding Undergraduate Student Talk in Mathematical Sciences Award winner)

Students: Mario Banuelos and Michelle Hoshiko
Mentor: Tamas Forgacs
Dates:
2010-11 AY
Project: Multiplier sequences in finite fields
Main Outcomes:Talks at the CURM spring research conference, the Central California Research Symposium, the Pacific Coast Undergraduate Mathematics Conference, and the JMM in New Orleans. All given in 2011.

Student: Isaac Birnbaum
Mentor: Oscar Vega
Dates:
2010-11 AY
Project: The well-covered dimension of graphs.
Main Outcome:Birnbaum, Isaac; Kuneli, Megan; McDonald, Robyn; Urabe, Katherine; Vega, Oscar. The well-covered dimension of products of graphs. Discuss. Math. Graph Theory34 (2014), no. 4, 811-827.

Students: Michelle Hoshiko and Lucy Montalvo
Mentor: Tamas Forgacs
Dates:
Summer and Fall of 2009
Project: Highway speeding and policing
Main Outcome:Poster presentation at the JMM in San Francisco, January 2010.

Student: Ana-Cristina Jimenez
Mentor: Carmen Caprau
Dates:
2009-10 AY
Project: Studying knots via braids
Main Outcome: Poster presentation at the JMM in New Orleans (Outstanding Poster Presentation Award winner), January 2011.

Student: Dhiraj Holden
Mentors: Stefaan Delcroix and Oscar Vega
Dates:
Summer and Fall 2010
Project: The Collatz conjecture
Main Outcome:Holden, Dhiraj. Results on the 3x+1 and 3x+d conjectures. Fibonacci Quart.49 (2011), no. 2, 131-133

Student: Iliana Perez
Mentor: Tamas Forgacs
Dates:
2008-09 AY
Project: The cultural costs of international trade
Main Outcome:Talk at the annual meeting of the Missouri Valley Economic Association in St. Louis, MO in October, 2008.

Student: Ana-Cristina Jimenez
Mentor: 
Larry Cusick
Dates: 
2008-09 AY
Project:
Three strands, three crossings, one p-colorability
Main Outcome: 
Poster presentation at the JMM in San Francisco, January 2010.