Winter 2011-2012 School of Mathematical Sciences Volume 1, Number 2 Student research profile Tran finds her mathematics passion in actuarial science With several research experiences and a summer internship under her belt, Anh Tran, a third-year applied mathematics major, has confirmed her interest in becoming an actuary. While working at an insurance company in her home country of Vietnam, she saw firsthand the day-to-day operations of the company. “I highly recommend an internship to other RIT students,” states Anh. “It was beneficial to see how mathematics can be used to analyze business decisions.” Anh’s desire to learn mathematics began at a young age. In high school, her role model was Terence Tao, a 2006 Fields Medal awardee, because “he studies interesting math topics, like number theory, and accomplished so much at a young age.” Anh came to the United States to finish her high school education at a mathematics and science school in Maine. Her guidance counselor included RIT on her list of colleges to consider, and the rest is history. Along with her internship, Anh has had a collection of research experiences at RIT that have helped her find her passion for actuarial science. Each experience began with learning a collection of definitions and a few key concepts. From there, Anh would start deriving new conjectures and proofs. She has worked independently with Darren Narayan on the rankings of graphs as well as on a team with students from the University of Rochester and Rutgers during a Research Experience for Undergraduates at RIT. Anh gives the following advice for research success: “Be energetic, enthusiastic, and creative.” Although Anh’s immediate goal is to become a practicing actuary, she hopes to return to research in the future. (see TRAN, p. 2) Faculty research profile Biostatistics applications provide rewards for Chen For Linlin Chen, an Assistant Professor in the School of Mathematical Sciences at RIT, it was the chance to take her skills and apply them to important real-world problems that set her on her current path of studying biostatistics and biomathematics problems across a wide range of topics. Like many SMS professors, Chen’s academic background is not entirely in mathematics. She earned her bachelor’s degree in mechanics from Beijing University, and a master’s degree in computer science from Rice University in Houston. Following a stint at the oil services firm Schlumberger, she worked as a senior programmer for the Center for Aging and Developmental Biology at the University of Rochester (UR), where she says that interactions with the biologists and doctors she met and worked with fostered a strong interest in biostatistics. Building on her computational and mathematical skills, she proceeded School of Mathematical Sciences to earn her master’s and doctoral degrees at UR. Her thesis work involved statistical studies of microarray data, in which a large number of small DNA segments are placed on a substrate and used to perform widely parallelized genetic tests, with an emphasis on the correlation structure of high-dimensional data, especially genetic data. She continues to work on similar projects studying possible inter-gene dependencies and their effects on the performance of gene selection procedures. She uses the results to form a computer simulation model describing the cell population dynamics and associated gene expression variations in renewing tissues. Other active projects include using microarray data to analyze statistical techniques that help balance type I (“false positive”) and type II (“false negative”) errors, studying factors affecting mortality rates for patients with testicular cancer in collaboration with a researcher at UR's cancer center (see CHEN, p. 3) SMS Research News, smsnews@rit.edu a quarterly publication of research accomplishments and information Editor-in-chief: Editorial board: Elizabeth M. Cherry Joshua A. Faber Kara L. Maki SMS faculty and students take part in annual meeting of Upstate New York Cardiac Electrophysiology Society Four students working with SMS faculty presented their research at the Upstate New York Cardiac Electrophysiology Society (Unyces) annual meeting on October 28 in Syracuse. The single-day annual meeting brought together researchers studying all aspects of cardiac electrophysiology and arrhythmias, from subcellular to whole-organ investigations and encompassing theoretical, experimental, and clinical studies. A unique feature of all Unyces meetings is their focus on young investigators: apart from the invited keynote speaker, the meeting presenters consist of postdoctoral fellows and students, mostly at the graduate level, and attendees strive to provide constructive comments and positive feedback. RIT presenters this year included Mohamed Elshrif, a PhD student in Benjamin Liu, left, explains his poster. Computing and Information Sciences, and Benjamin Liu, a BS student in SMS, both working with Elizabeth Cherry; and Eric Spangler, an MS student in SMS, and Mingming Wang, an MS student in Electrical Engineering, both working with Nathan Cahill and Elizabeth Cherry. It was the first time for Liu, Spangler, and Wang to attend a professional meeting in the field and Elshrif’s first oral presentation. Unyces meetings celebrate the history of cardiac electrophysiology research in the upstate New York region. RIT participants joined a total of nearly 100 researchers from universities and laboratories in New York and Ontario at Upstate Medical University, this year’s host institution. The next Unyces meeting will take place in the fall, with RIT and the Mingming Wang, left, and Eric Spangler, center, University of Rochester serving as co-hosts. discuss their poster with a conference attendee. RIT researchers granted a millennium of computer time Performing cutting-edge computational scientific research can require tremendous amounts of computing power, and an RIT team has just been awarded one of the largest allocations across the nation, representing more than 1,000 CPU-years worth of computing time on some of the nation's largest supercomputers dedicated to academic use. Carlos Lousto, along with colleagues Manuela Campanelli, Joshua Faber, Scott Noble, and Yosef Zlochower, all of the School of Mathematical Sciences and Center for Computational Relativity and Gravitation (CCRG), and Hans-Peter Bischof (Computer Science/CCRG), have been awarded nearly 13 million CPU-hours via the XSEDE program, a National Science Foundation-funded project that awards time on 16 supercomputers at sites located across the country. The computer time will be used to further the CCRG's research efforts into the dynamics of black holes, neutron stars, and accretion disks. “This allocation, which represents 2 percent of the Ranger supercomputer's entire capacity, will allow us to continue to stay at the forefront of numerical relativity and astrophysics, leadership which is recognized throughout the community,” says Lousto. According to Zlochower, the big challenge is not just using such a large allocation, but using it well: “We've spent a great deal of time learning how to use thousands of processors at a time efficiently, pushing the limits of computer science along with physics, and are working on expanding our reach to tens of thousands of cores,” a scale that has become possible only in the last few years. TRAN, continued from p. 1 Success is not uncommon for Anh. She already has a peer-reviewed publication entitled “Rank numbers for some trees and unicycle graphs” in Aequationes Mathematicae. “I think the publication process is an interesting experience. It includes a lot of detailed work, especially editing,” states Anh. In addition to her publication, Anh has given a research presentation on ranking of graphs at the Joint Mathematics Meetings held in January. At the meeting, she was surprised to see so many mathematicians (over 6,000 registered). Her findings were well received by the mathematics community. In her free time, Anh enjoys puzzles, music, and gathering with friends. In the spring, she will be transferring to Temple University to complete a degree in actuarial science while finishing her mathematics degree. She explains, "Even though I need to leave RIT to follow my ambitions, I will always be grateful for the experiences I have had there that have helped me to decide the direction I want to take in life." We wish Anh the best of luck. She will be missed. SMS Research News Winter 2011-2012 Page 2 Seminar Series Center for Applied and Computational Mathematics All seminars are at 12pm in Gosnell 2130. Monday, December 5. Benjamin Liu (RIT): Implications of non-uniqueness of curve fitting to sparse experimental data on dynamics of cardiac electrophysiology models; Eric Spangler (RIT): Segmentation of magnetic resonance images for structural modeling of the heart. Monday, December 12. Ryan Lewis (Dartmouth College): Multicore homology. Monday, January 16. TBA. Monday, January 23. TBA. Monday, January 30. Shaohui Sun (RIT): Nearly rigid descriptor-based matching for volume reconstruction from histological sections. Monday, February 6. Qinlian Zhou (U Buffalo): TBA. Monday, February 13. TBA. www.rit.edu/cos/math/acm/seminars.php Science Cafes Science Cafes are talks for the general public that encourage questions and discussion. They are held at 7pm at the Pittsford Plaza Barnes and Noble on the fourth Tuesday of every month. ccrg.rit.edu/~RSC Publications Peer-reviewed research articles by SMS faculty and postdoc and RIT student authors. Abadie J et al. [incl. Frei M, Peiris P, and Whelan JT] (LIGO Scientiļ¬c Collaboration). A gravitational wave observatory operating beyond the quantum shot-noise limit. Nature Physics 7, 962-965 (2011). Batocci E et al. [incl. Filipski AB and Cherry EM]. Teaching cardiac electrophysiology modeling to undergraduate students: Lab exercises and GPU programming for the study of arrhythmias and spiral wave dynamics. Advances in Physiology Education 35, 427-437 (2011). Jaramillo G, Lousto CO. Study of multi black hole and ring singularity apparent horizons. Physical Review D 84, 104011 (2011). Khullar S, Michael AM, Cahill ND, Kiehl KA, Pearlson G, Baum SA, Calhoun VD. ICA-fNORM: Spatial normalization of fMRI data using intrinsic group-ICA networks. Frontiers in Systems Neuroscience 5, 118 (2011). Lousto CO, Zlochower Y. Hangup kicks: Still larger recoils by partial spin/orbit alignment of black-hole binaries. Physical Review Letters 107, 231102 (2011). Maki KL, Kumar S. Fast evaporation of spreading droplets of colloidal suspensions. Langmuir 27, 11347-11363 (2011). Nakano H, Zlochower Y, Lousto CO, Campanelli M. Intermediate-mass-ratio black hole binaries II: Modeling trajectories and gravitational waveforms. Physical Review D 84, 124006 (2011). Niederer SA et al. [incl. Cherry EM]. Verification of cardiac tissue electrophysiology simulations using an N-version benchmark. Philosophical Transactions of the Royal Society of London A 369, 4331-4351 (2011). Ponce M, Faber JA, Lombardi Jr. JC. Accretion disks around kicked black holes: Post-kick dynamics. Astrophysical Journal 745, 71 (2012). CHEN, continued from p. 1 and working with researchers at Undergraduate summer research opportunities Rochester General Hospital Undergraduate students interested in conducting (RGH) on studies of a vaccine research over the summer should take note of hoped to reduce the incidence opportunities for research fellowships offered through of ear infections in children. the College of Science, Center for Student Innovation, In the spring, Chen will be and the Honors Program as well as the Research looking to work with some wellExperiences for Undergraduates Program in trained undergraduate students Mathematics at RIT. Application deadlines are on the consulting projects she expected in late February and early March. Interested performs with RGH, by students should contact potential faculty mentors to analyzing medical data and discuss possible projects and Darren Narayan using it to help guide her colleagues in their work. Her (dansma@rit.edu) for more specific information. advice for students is very clear: “You need to have MS students: finalize faculty advisor selection strong mathematical and computational skills these Graduate students who have not yet selected an days to succeed in academia, private industry, or other advisor should do so as soon as possible to ensure places.” She strongly encourages undergraduate sufficient time is available to complete their thesis statistics majors not only to learn the rudiments of the work. “If you plan to graduate in the current academic major statistics languages, but to spend the time to year, it is imperative to start working on your thesis in master the techniques that will open doors for them in a timely manner,” says Director of Graduate Programs the future, wherever their path may take them. Hers Tamas Wiandt. Graduate students should arrange to has certainly been a winding one, but she says it was meet with potential advisors to discuss topics and to entirely worth it. “I get to apply my skills every day to plan a timeline for thesis completion. a number of real, applied problems and help people when I do. It's extremely fulfilling.” SMS Research News Winter 2011-2012 Page 3 Conference Presentations Conference and symposium presentations by RIT faculty and postdocs and RIT students. Students: Brittany Ambeau, Harris Ennis, and Stefan Schnake: Nondestructive electrothermal detection of corrosion. Joint Mathematics Meetings (JMM), Boston, MA, January 2012 (poster). John Costanzo and Nathan Cahill: A survey of the feasibility of similarity measures for use in rigid registration. JMM, Boston, MA, January 2012. Erin Crossen and Selin Sariaydin: On an inverse problem of parameter identification in compressible and incompressible linear elasiticity. JMM, Boston, MA, January 2012 (poster). Korinne Dobosh and Samuel Kennedy: Rank numbers of rook's graphs. JMM, Boston, MA, January 2012. Faculty mentor: Jobby Jacob. Mohamed Elshrif: Quantitative analysis of two models of human ventricular cardiac electrophysiology. Upstate New York Cardiac Electrophysiology Society (Unyces) Meeting, Syracuse, NY, October 2011. Faculty mentor: Elizabeth Cherry. Meridangela Gutierrez-Jhong and Maxwell Bileschi: A complete characterization of optimal vertex rankings of paths, cycles, and joins of graphs. JMM, Boston, MA, January 2012. Faculty mentor: Darren Narayan. Ryan Held and Lauren Stemler: Representations of graphs modulo $N$. JMM, Boston, MA, January 2012. Benjamin Liu: Curve fitting to sparse experimental data: Implications for the dynamics of cardiac electrophysiology models. Unyces Meeting, Syracuse, NY, October 2011 (poster). Faculty mentor: Elizabeth Cherry. Benjamin Liu: Implications of non-uniqueness of curve fitting to sparse experimental data on dynamics of cardiac electrophysiology models. RIT Center for Applied and Computational Mathematics (CACM), Rochester, NY, December, 2011. Faculty mentor: Elizabeth Cherry. Prabath Peiris: Gravitational wave data analysis using cross-correlation method. RIT Astrophysics Research Talks Jamboree, Rochester, NY, October 2011 (poster). Faculty mentor: John T. Whelan. Eric Spangler and Mingming Wang: Segmentation of magnetic resonance images for structural modeling of the heart. Unyces Meeting, Syracuse, NY, October 2011 (poster). Faculty mentors: Nathan Cahill and Elizabeth Cherry. Eric Spangler: Segmentation of magnetic resonance images for structural modeling of the heart. RIT CACM, Rochester, NY, December 2011. Faculty mentors: Nathan Cahill and Elizabeth Cherry. Andrew Zemke and Akhtar Khan: Identification of certain parameters in fourth order boundary value problems. JMM, Boston, MA, January 2012. Faculty and Postdocs: Raluca Felea: Folds and cusp singularities in seismic inverse problems. University of Limerick, Ireland, October 2011. Raluca Felea: Common singularities in SPECT and SAR inverse problems, Inverse Problems, Isaac Newton Institute, Cambridge, UK, November 2011. Raluca Felea: A class of singular Fourier integral operators. Loughborough University, UK, November 2011. Rigoberto Florez and Darren A. Narayan: Maximizing the number of edges in optimal k-rankings. Joint Mathematics Meetings (JMM), Boston, MA, January 2012. Matthew J Hoffman: Correcting flow estimates in Chesapeake Bay using data assimilation. JMM, Boston, MA, January 2012. Bonnie C. Jacob and Jobby Jacob: From sum optimal to max optimal graph rankings. JMM, Boston, MA, January 2012. Baasansuren Jadamba, Akhtar A. Khan, and Fabio Raciti: Some remarks on stochastic variational inequalities with applications to equilibrium problems. JMM, Boston, MA, January 2012. Akhtar A. Khan and Miguel Sama: Conical regularization for abstract constrained optimization problems in Hilbert spaces. JMM, Boston, MA, January 2012. Chulmin Kim: A brief statistical analysis of line-up in the Major league baseball, New England Symposium on Statistics in Sports 2011, Boston, MA, September 2011. Chulmin Kim: Are the current weights 1/3, 1/3, and 1/3 the best to produce the BCS rating in the College Football?, Fall 2011 Seaway Sectional Meeting of the Mathematical Association Of America, St Bonaventure, NY, October 2011. SMS Research News Joy Lind and Darren A. Narayan: STEM real world applications of mathematics. JMM, Boston, MA, January 2012 (poster). Carlous Lousto: Hangup kicks: Still larger recoils by partial spin/orbit alignment of black-hole binaries. 21st Midwest Relativity Meeting, Urbana-Champaign, IL, November 2011. Kara L. Maki and Satish Kumar: Fast evaporation of spreading droplets of colloidal suspensions, NSF Mathematics Institutes' Modern Math Workshop at The Society for Advancement of Chicanos and Native Americans in Science Annual Conference, San Jose, CA, October 2011. Kara L. Maki and Satish Kumar: Fast evaporation of spreading droplets of colloidal suspensions, 64th Annual Meeting of the American Physical Society Division of Fluid Dynamics, Baltimore, Maryland, November 2011. Kara L Maki and Satish Kumar: Drying of spreading droplets of colloidal suspensions. JMM, Boston, MA, January 2012. John T. Whelan: Cross-correlation search for LMXBs. LSCVirgo CW Face-to-Face Meeting, Gainesville, FL, September 2011. John T. Whelan, Emma L. Robinson, Joseph D. Romano, and Eric H. Thrane: Treatment of calibration uncertainty in multi-baseline cross-correlation searches for gravitational waves. International Conference on Gravitation and Cosmology (ICGC), Goa, India, December 2011 (poster). John T. Whelan for LIGO Scientific Collaboration and Virgo Collaboration: Targeted and directed searches for periodic gravitational waves. ICGC, Goa, India, December 2011. Winter 2011-2012 Page 4