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The Professional Preparation section lists academic qualifications such as degrees and diplomas. Each record stores the degree, major, institution and year. The records can also be hidden from public view by checking the hide checkbox. Please click here for available slides.
The Research and Expertise section describes the areas in which you have expertise or are involved in research. Research Explorer's search engine indexes data in this field for keyword searches. Please click here for available slides.
1. Enhancing students' interests and skills in mathematics. I am the Director and Founder of AwesomeMath, which includes a summer program for students training to succeed at the Olympiad level, a correspondence-based lecture series for students' continuing education, called AwesomeMath Year-round, and Mathematical Reflections, a free online journal focused primarily on mathematical problem solving. The main purpose of this initiative is to give students an opportunity to engage in meaningful learning activities and explore in detail areas in advanced mathematics. AwesomeMath's primary focus is on problem-solving. I use it as a tool to enhance students' interest and skills in mathematics.
I believe that there are two major parts in significant mathematics teaching and learning: higher concepts (introducing and developing new topics) and applying those concepts creatively to concrete problems (bringing life to the new topics). These two areas rely on each other, but we focus primarily on the latter. I feel that certain advanced mathematics topics are best introduced to young students by motivating the concepts through problems that encourage investigation.
I am actively involved with mathematics competitions at the secondary and undergraduate levels. I write and contribute questions for the American Mathematics Competitions examinations as well as the International Mathematics Olympiad and the W. L. Putnam competition.
I would like to involve undergraduate students in my research. My area of research is an ideal entrance point to research for talented students, since it does not require a lot of background while offering abundance of open problems. In addition to the problems I can suggest, the students can also easily make their own conjectures, experiment by using Computer Algebra Systems, attack special cases, generalize and transfer ideas from one case to another, and learn and use various techniques while trying to resolve the problems. Thus they would experience first hand all the phases and subtleties of doing original research.
2. Diophantine Analysis, with emphasis on Quadratic Diophantine Equations. This research area focuses especially on the study of the general Pell's equation, which is connected to problems from various domains of mathematics and science, such as Thue's Theorem, Hilbert's Tenth Problem, Euler's Concordant Forms, Einstein's Homogeneous Manifolds, Hecke Groups, and so forth. I have obtained numerous original results such as:
In the cases when the equation is solvable, I found an elegant explicit form for the solutions. I then extended a result of D. T. Walker [The American Mathematical Monthly, vol. 74, no. 5, 1966, 504-513].
I proved partial results about the equation and formulated conjectures regarding its solvability.
I obtained results about the equation , including those regarding the LMM algorithm of finding the fundamental solutions to the general Pell's equation based on continued fractions.
I devised two original methods of solving the equation .
I proved that numerous important quadratic equations have infinitely many solutions in integers.
I devoted special attention to the Diophantine representability of several interesting sequences of positive integers. I introduced the concept of r-Diophantine representability of a sequence of positive integers and studied in an original manner the equations by employing the special Pell's equation . I have extensively studied the Diophantine representability of the Fibonacci, Lucas, and Pell sequences using methods of investigation different from and simpler than the ones already found in the literature. I also studied the problem of Diophantine representability of generalized Lucas sequences, which I introduced, finding conditions under which their general solution is a linear combination with rational coefficients of the classical Fibonacci and Lucas sequences.
I found numerous applications of the results above. For example, I determined conditions under which the numbers and are simultaneously perfect squares for infinitely many positive integers n. I discovered special properties of triangular numbers, such as proving that any positive rational number r, where is irrational, can be written as the ratio of two triangular numbers. I extended some results pertaining to triangular numbers to polygonal numbers.
The Publications section lists any and all publications worked on. Research Explorer's search engine indexes data in this field for keyword searches. The category field is a user defined field where any number of categories can be created by the user to categorize publications. For example, publications can be categorized by the Journal that they appear in. Please click here for available slides.
T. Andreescu, On a Class of Diophantine Equations, American Mathematical Monthly, submitted Category: American Mathematical Monthly
T. Andreescu, D. Andrica, On the Diophantine Equations XZ + my + WZ Z i 1, The Fibonacci Quarterly, submitted Category: The Fibonacci Quarterly
T. Andreescu, D. Andrica, Diophantine Representations of Some Generalized Lucas Sequences, The Fibonacci Quarterly, submitted Category: The Fibonacci Quarterly
T. Andreescu, W. Stromquist, Z. Sunik, Bandwith Reduction in Rectangular Grids. Discrete Mathematics, accepted Category: Discrete Mathematics
T. Andreescu, O. Muskarov, L. Stoyanov, Minima and Maxima in Geometry, Birkhauser Boston, 2005, 264 pp.
Presentations and Projects
The Presentations and Projects section lists anything that does not fit in the publication category such as conferences, seminars, invited talks, etc. Research Explorer's search engine indexes data in this field for keyword searches. Please click here for available slides.
Seminario de Educacion Matematica lberoamericano con `Enfasis en solucion de Problemas Seminario de Educacion Matematica lberoamericano con `Enfasis en solucion de Problemas, Cartagena, Colombia
Math Time Inivited lecturer at Math Time, Voineasa, Valcea, Romania, 2005
Worked with Columbian and Peruvian students training for the IMO at Antonio Narino University in Bogota, Columbia Worked with Columbian and Peruvian students training for the IMO at Antonio Narino University in Bogota, Columbia for a week in each of five years from 1996 through 2000
Mathematical Induction, an Elegant and Powerful Method University of South Wales in Sidney, Australia
Consultant to the Iberoamerican Mathematics Olympiad in Puerto Plata, Dominican Republic
The Appointments section lists work experience including previous appointments. Research Explorer's search engine indexes data in this field for keyword searches. Please click here for available slides.
University of Texas at Dallas (UTD), Richardson TX
Mathematical Association of America (MAA) American Mathematics Competitions (AMC)
University of Nebraska-Lincoln (UNL), Lincoln, NE
Illinois Mathematics and Science Academy (IMSA), Aurora, IL
Loga Academy, Timisoara, Romania
University of Wisconsin-Whitewater (UWW), Whitewater, Wl
Tokai University, Tokyo, Japan
The Support section lists any financial or other type of support you have received. Research Explorer's search engine indexes data in this field for keyword searches. Please click here for available slides.
The Additional Information section describes any other topics you wish to display on your profile that is not in another section. Research Explorer's search engine indexes data in this field for keyword searches. Please click here for available slides.
1995-2002 Director of the Mathematical Olympiad Summer Program (MOSP) and Leader of the US delegation to the IMO. In addition to MOSP teaching responsibilities, oversaw the work of the other instructors and closely supervised their teaching.
1994-2002 Head Coach of the USA Mathematical Olympiad Team. Led the US team to its historic lst place in 1994 when all six American students achieved perfect scores, unique performance in the 45-year history of the IMO. Led Team USA to 2"d place in 1996 and 2001, and 3rd place in 1998, 2000, and 2002 in a field of more than 80 participating countries.
1993-1999 Grading room chair of American Regions Mathematics League (ARML)
1993-1994 and 2003—Present Assistant Coach of the USA IMO Team
1991-1998 Coach of the Chicago Area All-star Mathematics Team
1991 -1998 Co-sponsor of the IMSA chapter of Mu Alpha Theta
1983-1989 Counselor, Romanian Ministry of Education. Designed and implemented specialized programs to optimize the education of gifted middle and high school students, involving close interaction with university professors and senior teachers associated with Romania's best secondary schools. Assistant Coach of the Romanian Mathematics Olympiad Team and Deputy Leader of the Romanian Team for the Mathematical Contest of the Balkan Countries and the IMO.
2001-2003 On the list of MAA lecturers. The MAA has a program whereby each MAA section may invite at the MAA's expense one speaker from the list to lecture at their annual section meeting.
1995 Certificate of Appreciation Presented by President of the MAA for "Outstanding service as Coach of the USA Mathematical Olympiad Program in preparing the USA Team for its perfect performance in Hong Kong at the 1994 IMO".
1994 First place winner of Edith May Sliffe Award for Distinguished High School Mathematics Teaching, awarded by President of the MAA.
1983 Distinguished Teacher Award bestowed by the Romanian Secretary of Education.
Membership in Professional Societies
American Mathematical Society, since 1995
Mathematical Association of America, since 1994
National Council of Teachers of Mathematics, since 1992
American-Romanian Academy, since 2002
Other Professional Activities
2002-Present Consultant and reviewer for Birkhauser Boston
1999-Present Consultant for Best Practices in Ea'ucation (BPE). BPE gives US teachers and researchers opportunities to identify, adapt, and disseminate exemplary practices and curricula from abroad.
1997-1999 Co-authored (with Mark Saul) the problem solving column in Quantum, a quarterly mathematics journal for high school/college students and professionals
1993-1996 Authored monthly Problem Solving Column in the Illinois Mathematics Teacher Journal
1993-1995 Editor of [MSA Mathematics Journal
1986-1989 Secretary of the Romanian Mathematical Society, Timisoara
1981-1989 Editor—in-chief of Timisoara's Mathematical Gazette, Romania's mathematics journal with the second largest circulation
Other Student Activities
Hotchkiss School, Lakeville, CT, 2005
MAA Sectional Meeting, Arlington, TX, 2005
Mathematical Sciences Research Institute, Berkeley, CA, 2004
University of Puget Sound, WA, 2003
University of Colorado, Colorado Springs, CO, 2002
MathPath, Black Hills State University, Spearfish, SD, 2002
University of California at Los Angeles, CA, 2002
Texas Tech University, TX, 2002
MAA Sectional Meeting, Ripon, WI, 2002
Ohio University, Athens, OH, 2002
Phillips Exeter Academy, NH, 2002
Hunter College, NY, 2002
Stuyvesant High School, NY, 2002
University of South Alabama, AL, 2001
Colby College, ME, 2001
Brooklyn Tech High School, NY, 2001
Academy for Advancement of Science and Technology, NJ, 2001
2001-2002, On the three-member panel of question writers for the W. L. Putnam
2004-Present Mathematical Competition, the premier collegiate-level mathematics contest in North America
2003-Present Member of the IMO Advisory Board, the goveming body of the International Mathematical Olympiad
2003-2004 Discussion Leader of Problem Solving Section at 10th Intemational Congress of Mathematics Education (ICME), Copenhagen, Demnark
2002-Present Member of the Editorial Board, Acta Universitatis Apulensis-Mathematica, "l December l9l8" University, Alba Iulia, Romania
2002-Present Secretary of the Asian-Pacific Mathematics Olympiad
1999-Present Leader of International Project in Problem Solving sponsored by Best Practices in Education. This project involves curriculum writing and interaction with teachers from the USA, Bulgaria, Romania and Hungary. Chaired, to date, four International workshops
1999-2000 Chaired Mathematics Competition Section at 9th International Congress of Mathematics Education (ICME), Makuhari, Japan
1996-2004 Chaired USAMO Committee, restructuring the contest to more closely
resemble the IMO in format
Dr. Tom Butts School of Natural Sciences and Mathematics University of Texas at Dallas Richardson, TX 75080 email@example.com
Dr. Jonathan Kane Department of Mathematical and Computer Sciences University of Wisconsin - Whitewater Whitewater, W1 53190-1790 262-472-5002 firstname.lastname@example.org
Dr. Ken Ono Solle P. and Margaret Manasse Professor of Letters and Science Department of Mathematics University of Wisconsin Madison, Wisconsin 53706 608-263-2604 email@example.com
Dr. Zoran Sunik Department of Mathematics Texas A&M University College Station, TX 77843-3368 979-862-2182 firstname.lastname@example.org
Dr. Dorin Andrica Faculty of Mathematics and Computer Science Babes-Bolyai University Str. Kogalniceanu l Cluj-Napoca, Romania 0l l-402-64-215956 email@example.com
Dr. Steven Condie Illinois Mathematics and Science Academy l500 W. Sullivan Road Aurora, IL 60506 630-907-5967 firstname.lastname@example.org
Dr. Razvan Gelca Texas Tech University Lubbock, TX 79409 806-742-2584 email@example.com
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