News: What's happening in our department and in mathematics across the country.

(1-8-16) Our professors and students have been busy doing research.  Here are a few of their recent accomplishments.   

Prof. Tian-Xiao He co-authored the following two papers, each of which were written with IWU students.

  • (with Jinze Zheng '16) "Duals of Bernoulli numbers and polynomials and Euler numbers and polynomials," Integers, to appear.
  • (with Tung Nguyen '15) "A unified approach to construct a class of Daubechies orthogonal scaling functions,"  Journal of Mathematical Research with Applications, to appear.

Prof. Seung-Hwan Lee co-authored the following two papers, one of which was written with an IWU student. 

  • (with Jonathan Vlk '17) "Modeling Conditional Dependence of Stock Returns using a Copula-based GARCH model," International Journal of Statistics and Probability, to appear.
  • (with Prof. J. Shim, UC Denver) "Dependency between risks and the insurer's economic capital: A copula-based fmodel," Asia-Pacific Journal of Risk and Insurance, to appear.

(1-6-17) Happy New Year!  Over the winter break Prof. Andrew Shallue was awarded the 2016 Dick Lehmer award for best talk at the West Coast Number Theory Conference.  The title of his talk was "Average liar counts for degree 2 Frobenius pseudoprimes," and this is joint work with Andrew Fiori at the University of Calgary.  

(10-19-16) The 30th Midwestern Conference on Combinatorics and Combinatorial Computing (MCCCC30) was held last weekend at nearby Illinois State University.  This conference was held in honor of Prof. Mike Plantholt, who teaches at both ISU and IWU.  There were 5 people from IWU giving talks on their research.

Trevor and Andrew

Prof. McGuire and Prof. Shallue at MCCCC30.


Ximing Dong '18 at MCCCC30.


(9-28-16)  Prof. Seung-Hwan Lee published the following articles, the second of which was co-authored by Prof. Jeungbo Shim from University of Colorado, Denver.

  • "On the Estimators and Tests for the Semiparametric Hazards Regression Model."  Lifetime Data Analysis , 22, 531-546 (2016).
  • "A new test procedure for the choice of dependence structure in risk measurement: Application to the U.S. and UK stock market indices." Applied Economics: incorporating Applied Financial Economics , 48, 1382-1389 (2016)

(9-26-16) Today the department held our first brown-bag lunch of the year.  A presentation was given by four alums who all happen to be employed as actuaries at Allstate: Ashley Borchardt '09, Scott Klepetka '13, Derek England '15, and Christine Peterson '16.  The four also spent the day talking with current students interested in becoming actuaries, as well as participating in an internship fair held on campus.  

(6-16-16) The first ever workshop on the Riordan group, held at IWU, is nearing its conclusion this week.  The workshop is being conducted by Prof. Lou Shapiro (Howard University) with Prof. Tian-Xiao He (IWU).  Nine students are participating and enjoying every minute of it.  

The workshop will be followed by the 3rd International Symposium on Riordan Arrays and Related Topics (RART), held on IWUs campus.  This symposium will bring together researchers from all over the world to discuss current research topics surrounding Riordan arrays.  Many IWU students will have the chance to participate in the symposium through presenting their research results, attending talks, and conversing with some of the leading mathematicians in the field.

(3-25-16) Our third brown-bag lunch of the semester was held today.  Tung Nguyen '15 took a break from his graduate studies in mathematics at UW-Madison to talk about all aspects of applying for, and being a graduate student in math.

Tung Nguyen '15 (third from left) and friends after his brown-bag talk



(3-10-16) The first two brown-bag lunches of the semester have occurred over the last three weeks.  We had the following two excellent talks.

  • Math Education Panel Discussion: Becoming a Mathematics Teacher.  Panelists: Gina Mayer '16 (secondary math ed.), Lauren McAnally '16 (elementary ed.), Alex Burnside '16 (elementary ed.), Angela Herrmann '16 (elementary ed.), and Annie Oliveri '16 (elementary ed.) .
  • Mathematica.  Speaker: IWU's Associate Director of Prospect Research, Management, and Analytics, Michael Morrison '03.






(2-5-16)  Prof. Tian-Xiao He published the following articles in 2015.  Two were with IWU math alumnus Tung Nguyen '15.

  • "Matrix characterizations of Riordan arrays.'' Linear Algebra and Its Applications,   465 (2015), 15-42. 
  • (with  J. H.-C. Liao and P. J.-S. Shiue) ``The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler Polynomials.'' Journal of Combinatorics and Number Theory, 6 (2014),  No. 3, 189-207.
  • (with Tung Nguyen '15) ``Construction of spline type orthogonal scaling functions and wavelets.''  Journal of Applied Functional Analysis, 10 (2014), No. 3-4, 189-203. 
  • (With Peter J. -S. Shiue) Algorithms for enumeration problem of linear congruence modulo m as sum of restricted partition numbers. Frontiers of Mathematics in China, 10 (2015), no. 1, 69-89.
  • "Construction of nonlinear expression for recursive number sequences.'' Journal of Mathematical Research with Applications, 35 (2015), No. 5, 473-483.
  • (with  J. H.-C. Liao and P. J.-S. Shiue) "Stirling numbers and the Pascal matrix function.''  Science China Mathematics, 45 (2015), No. 9, 1563-1572. 
  • (with Tung Nguyen '15)  ``Wavelet analysis and applications in economics and finance.''  Journal of Statistics and Mathematical Sciences, 1 (2015), No. 1, 1-16. 

(1-27-16) The New Year was welcomed with actuarial success.  Keyuan Wan '17 passed the Probability actuarial exam earlier this month.

(12-1-15) There were two Beling lectures in Mathematics this semester.

  • Riordan Group and it's Applications in Counting Lattice Paths by Prof. Sheng-Liang Yang, Visiting Scholar at IWU from Lanzhou University of Technology, Lanzhou, China.
  • A Biologist and a Statistician Walked into a Bar... by Prof. Olcay Akman, Illinois State University, Normal, IL.

(12-1-15) Prof. Sheng-Liang Yang, a Visiting Scholar at IWU whose home institution is Lanzhou University of Technology, Lanzhou, China, gave the department's third brown-bag lunch talk of the semester just before Thanksgiving break.  He spoke about the mathematics education system in China.  Pictured below left to right: Dan Roberts, Tian-Xiao He, Sheng-Liang Yang, Zahia Drici, and Ray Jiang '17.

Yang brown bag

(11-2-15) Actuarial Success.  Math and Finance double major Keyuan Wan '17 passed the second actuarial science test, financial mathematics.  He passed the test in June.

(10-29-15) Prof. Olcay Akman from Illinois State University gave the department's second brown-bag lunch talk of the fall semester.  He spoke about the new graduate program consortium in Biomathematics available at Illinois State.

(10-13-15) Alumnus Steven Lachowski '15 and math majors Jacob Henry '16 and Jacob Nowakowski '17 gave the department's first brown-bag lunch talk of the fall semester today.  They discussed a series of calculus modules that they designed over the summer of 2015 using the mathematical programming software Mathematica.

Pictured from left to right: Jacob Nowakowski '17, Steven Lachowski '15, and Jacob Henry '16.

(5-26-15) Math major Cindy Basilio '17 is interning at Lingnan University in Hong Kong this summer as part of a large grant awarded to IWU by the Freeman Foundation.  See this article for more details.

(5-26-15) Update: Math major Jill Harmon '16 had great success at Nationals, placing 4th in the triple jump and 7th in the heptathlon.

(5-18-15) IWU math majors Christine Peterson '16 and Matthew Mardis '16 are completing internships with State Farm this summer.

Christine Peterson '16 and Matthew Mardis '15 at the State Farm Intern Kick-off for all summer 2015 interns.













(5-13-15) Congratulations.  Our very own Natalie Hoijer '15 (who graduated two weeks ago) was awarded a Phi Beta Kappa Liberal Arts Scholar Award.  This award is meant to "foster and celebrate student research that engages, translates and bridges academic disciplines and/or crosses traditional boundaries."  Natalie was a double math/music major.  She conducted research on the relationship between mathematical patterns and musical compositions.  For more details, please see this article.

Natalie Hoijer pi day
Natalie Hoijer celebrating Pi Day by baking pi pies.














(5-13-15) Throughout the past year IWU math students Christine Peterson '16 and Gina Mayer '16, with the help of others, worked hard to re-establish the IWU chapter of the Association for Women in Mathematics (AWM).  It is now a thriving chapter.  From the AWM website:

"The purpose of the Association for Women in Mathematics is to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity and the equal treatment of women and girls in the mathematical sciences."

Faculty advisors for our AWM chapter are Prof. Zahia Drici and Prof. Dan Roberts.



Jill Harmon triple jump
Jill Harmon on the podium for triple jump.


(5-6-15) Beling summer research students named.  This summer three IWU math majors will be conducting research with math faculty.  This research is supported by funds made available through the Earl and Marian A. Beling Professorship of Natural Sciences held by Professor Tian-Xiao He.

  • Brian Bollivar '16 is working with Prof. Shallue.
  • Jacob Nowakowski '17 is working with Prof. Shallue.
  • Jinze Zheng '17 is working with Prof. He.



(4-1-15)  IWU math major Jill Harmon '16 placed 5th in nation at NCAA DIII nationals in the triple jump.  She is pictured on the right.



(3-30-15) Actuarial Success.  IWU math major Christine Peterson '16 passed the SOA Probability actuarial exam.





(3-30-15) IWU math majors Christine Peterson '16, Dana Jourdan '17, and Jacob Henry '16 gave presentations this past weekend at the 25th Annual Expanding Your Horizons through Math, Science, and Technology Conference.  The conference is for students in grades 5 through 10, as well as their parents.

Christine and Dana at EYH
Christine Peterson and Dana Jourdan at EYH.
Jacob and Christine at EYH
Jacob Henry and Christine Peterson at EYH.



(1-8-15)  Dr. Tian-Xiao He received an NSF and AMS travel award in partial support of his attendance, talks, and service for the International Congress of Mathematicians 2014 in Seoul, South Korea.  Dr. He also published the article (with Peter J. S. Shiue) "Algorithms for enumeration problem of linear congruence modulo m as sum of restricted partition numbers", Frontiers of Mathematics in China, 10 (2015), no. 1, 69-89.

(12-15-14) Dr. Seung-Hwan Lee published the article "A Martingale Approach to Estimating Confidence Band with Censored Data",  Monte Carlo Methods and Applications , 20, 237-244 (2014).

(10-14-14) Actuarial Success. IWU student  Derek England '15  passed actuarial exam  C/4 (Construction and Evaluation of Actuarial Models). This is an extraordinary achievement, as it is Derek's fourth successful exam.

(9-17-14) Companies across the nation are seeking to employ people with excellent mathematical skills.  The number of people employed with the job title "Mathematician" is expected to see a 23% increase through 2022.  See this article from Time Magazine, and the article entitled Here's the Proof that Math is Hot These Days from the Washington Post.

(8-22-14) Maryam Mirzakhani, of Stanford University, became the first female winner of the Fields Medal -- mathematics highest honor.  The award was announced at the International Congress of Mathematicians in Seoul, Korea earlier this month.  IWU had two representatives at the conference: Prof. Tian-Xiao He and Prof. Andrew Shallue.

(8-18-14) IWU math major Kimberly Wenger '15, and her team, took first place in COUNTRY Financial's annual case study competition for summer interns.  Wenger is one of eight Illinois Wesleyan students interning at COUNTRY this summer.

(7-23-14)  Dr. Tian-Xiao He published the following six articles this past year.  The second paper was written with IWU math student Kurt Vanness '13.

  • (with L. C. Hsu and X. R. Ma), ``On an extension of Riordan array and its application in the construction of convolution-type and Abel-type identities.''  European J. Combinatorics, 42 (2014), 112-134
  • (With J. Maier and K. Vanness), ``Polynomials that have golden ratio zeros.'' J. Adv. Math. Stud., Vol. 7 (2014), No. 1, 151-175. 
  • (With Peter J.-S. Shiue and T.-W. Weng), ``Hyperbolic expressions of polynomial sequences and parametric number sequences defined by linear recurrence relations of order 2.''  J. Concr. Appl. Math., 12 (2014), No. 1-2, 63-85.
  • (With W.-S. Chou and Peter J.-S. Shiue), ``Enumeration problems for a linear congruence modulo m.''  Taiwanese Journal of Mathematics, 18 (2014), No.1, 265-275. 
  • (With S.-L. Yang, S.-N. Zheng, and S.-P. Yuan),  ``Schroder matrix as inverse of Delannoy matrix.''  Linear Algebra and Its Appl.,   439 (2013),  3605-3614.
  • ``Impulse response sequences and construction of number sequence identities.'' Journal of Integer Sequences, 16 (2013), Article 13.8.2, 1-23. 

(6-12-14) Congratulations.  Katy Seibring '14, who just graduated in May, has been awarded a Woodrow Wilson New Jersey Teaching Fellowship to teach mathematics in high-need secondary schools.  She is a member of the inaugural nationwide cohort of 50 other talented people.  The highly competitive fellowship also includes full funding for her masters degree.  To read the full story please check out this article.

(5-1-14) Mathematician rated top job in the country!  In Jobs Rated 2014, rated mathematician, statistician, and actuary all in the top 4 jobs in the U.S.  The main categories utilized to make their decision were work environment, stress, hiring outlook, and of course compensation.

(4-14-14) This Friday, April 18 the IWU Mathematics Department will be pleased to host Dr. Richard Laugesen, Director of Graduate Studies and Professor of Mathematics at the University of Illinois at Urbana-Champaign, to deliver a Natural Science Colloquium and Earl H. and Marian A. Beling Lecture entitled Three questions on triangles: maximizing the frequencies, hearing the shape, and finding the hottest spot.

(4-14-14) The 25th annual IWU John Wesley Powell Student Research Conference was held this past Saturday.  A number of our mathematics students gave talks or presented posters including the following (with their titles).

  • Lin Nguyen '15: Cryptography and Elliptic Curves
  • Tung Nguyen '15: Construction of Spline Type Orthogonal Scaling Functions and Wavelets
  • Kimberly Wenger '15: In Pursuit of the Ringel-Kotzig Conjecture: Uniform k-distant Trees are Graceful
  • Anh Phan '15: Bus Route Method for Graph Isomorphism
  • Yizhe Gao '16: Decomposing Complete Graphs into a Graph Pair of Order 6

(4-12-14) This past Friday, IWU math major Tung Nguyen '15 presented his research at the 2014 Rose-Hulman Undergraduate Conference on Mathematics. The title of his talk was Construction of Spline Type Orthogonal Scaling Functions and Wavelets.  Also in attendance was IWU's own Dr. Andrew Shallue, who organized the trip.

(4-12-14) IWU students have once again performed very well on the prestigious Putnam Mathematics Exam.  Our team ranked 140 nationally out of roughly 500 teams.  Participants from IWU were Tung Nguyen '15, Duc Nguyen '17, Lunjun Liu '17, Kyle Silang '16, and Anh Dao '15, and faculty advisors were Dr. Andrew Shallue and Dr. Ted Rice.  Individually, Tung Nguyen '15 was ranked 136 out of 4,113 participants.  Thanks to all student participants as well as faculty advisors for all of your hard work.

(4-2-14) This past weekend two IWU students presented their research at the 2014 Annual Meeting of the Illinois Section of the MAA at Southern Illinois University Edwardsville.  Kimberly Wenger '15 gave a talk entitled In Pursuit of the Ringel-Kotzig Conjecture: Uniform k-distant Trees are Graceful, and Tung Nguyen '15  gave a talk entitled Construction of Spline Type Orthogonal Scaling Functions and Wavelets.

(3-27-14) We are pleased to have Professor Edward Wilson from Washington University, St. Louis visiting our campus to deliver two Earl H. and Marian A. Beling Lectures today.  The titles of the talks are:

  • The Phenomenon of Sampling, and
  • Dual Integrable Representation of Discrete Groups and Bracket Functions

(3-20-14) Congratulations. IWU mathematics major Jill Harmon '16 is an NCAA triple jump All-American.  She finished 8th nationally this past weekend, with a distance of 11.45 meters.

(3-11-14)  Dr. Dan Roberts published "Maximum packings of Kn with k-stars," (with D.G. Hoffman) Australasian Journal of Combinatorics, (59) 1, 206-210 (2014).

(2-26-14) Congratulations.  IWU student Derek England '15 passed the Models for Financial Mathematics actuarial exam.  This is an extraordinary achievement, as it is Derek's third successful exam.

(2-26-14) This past weekend, our IWU Pi-Mu-Epsilon chapter hosted the annual high school math contest.  We had two local high schools participating, with about 30 students total.  Thanks to all of our student participants, our student PME members, and their faculty advisor Dr. Andrew Shallue.  Pi-Mu-Epsilon is a national mathematics honor society for undergraduate students.  The chapter is run by students, with faculty oversight.

PME 2014
A few members of our 2013-14 PME chapter.  From the left: Tung Nguyen,
Alex Bradford, Nick Scheiper, Prof. Shallue, Steven Lachowski,
Krystal Randazzo, Derek England, and Kimberly Wenger.


(2-10-14) Congratulations.  Two IWU students, Derek England '15 and Kimberly Wenger '15, passed the Probability actuarial exam last month.

(2-10-14)  Dr. Dan Roberts published "Embedding Partial k-star Designs," (with D.G. Hoffman) Journal of Combinatorial Designs, (22) 4, 161-170 (2014).

(1-9-14) Happy New Year.  Next week mathematicians everywhere will kick off the new year by attending the largest mathematics conference in the world -- the 2014 Joint Mathematics Meetings hosted jointly by the AMS and MAA.  We hope to see you there.

(12-20-13) Congratulations. IWU wins the 19th Annual MATH Challenge -- a regional mathematics competition.  The team -- made up of IWU students Tung Nguyen '15, Anh Dao '15, and Duc Nguyen '17 -- placed first out of 60 schools.  Special thanks to Dr. Ted Rice and Dr. Andrew Shallue for leading the team to victory.

Anh Huy and Tung majors lunch
From left: Anh Dao, Huy Do, and Tung Nguyen. 

(10-24-13) CongratulationsTwo IWU students, Derek England '15 and Kimberly Wenger '15, passed the Financial Mathematics actuarial exam this past summer.

(10-21-13)  Dr. Seung-Hwan Lee published the following two articles.  Note that the first one was published in collaboration with IWU math student Phillip Deng.
--"Analysis of Multiple Myeloma Life Expectancy using Copula," International Journal of Statistics and Probability, 2, 44-52 (2013).  Phillip Yulin Deng (IWU student), Eun-Joo Lee (Millikin University), Seung-Hwan Lee (IWU).
--"Stochastic Nature of Carbon Dioxide Hydrate Induction Time in Soil Mineral Suspensions," International Journal of Greenhouse Gas Control, 14, 15-24 (2013).  Kyoungjin Lee (Stanford University), Woojin Lee (Korea Advanced Institute of Science and Technology), and Seung-Hwan Lee (IWU).

(10-17-13)  Dr. Tian-Xiao He published the following two articles:
– "Expression and computation of generalized Stirling numbers." Journal of Combinatorial Mathematics and Combinatorial Computing, 86 (2013), 239-268.
– "On the construction of number sequence identities." (with W.-S. Chou) Journal of Concrete and Applicable Mathematics, 11 (2013), No. 4, 277-291.

(10-17-13) IWU students are preparing for the annual Putnam Mathematics Competition.

(5-15-13) IWU mathematics student places highly in very prestigious national mathematics competition.  Tung Nguyen '15 placed 49th out of 4,277 participants in the prestigious annual William Lowell Putnam Mathematical Competition.

(4-25-13) Actuary Rated Top Job in the Country!  Many of the other jobs listed in the top 20 require good math skills.  This list also includes jobs such as Mathematician, Statistician, and Software Engineer.  Take a look at this article from  

(1-15-13) Dr. Tian-Xiao He, Earl and Marian A. Beling Professor of Natural Sciences and Professor of Mathematics at IWU, crosses the 100-publication mark.  A huge milestone for a mathematician.