Online TA Profiles
Alexander Markos, PhD (IP)
OTA ID#: 104940
| Education Experience: |
Hon BSc, pure mathematics , University of Toronto, 2001 MSc, pure mathematics and mathematical physics, U. Toronto, 2002 PhD (IP), pure mathematics, , |
|---|---|
| Focus of Study: | RESEARCH INTERESTS
Symplectic topology, differential geometry and gauge theory; K-theory and cohomological algebraic geometry; noncommutative geometry and its relation to quantum field theory; string topology and (homological) mirror symmetry. |
| Awards: | * 2000-2002: University of Toronto Blyth Fellowship
* 2002-2003: McGill Graduate Studies Fellowship * 2003-2004: Tomlinson University Science Teaching Fellowship (McGill) [declined] |
| Publications: | Preprints and most recent work
1. Moduli spaces in geometry, topology, arithmetic and mathematical physics: a survey of recent results and new directions for research 2. Nonlinear semigroups, preprint, 2001 3. The Bruhat-Tits building and its applications to differential topology and algebraic K-theory, preprint, 2002 Please also see: supermanifold.com |
| Work Experience: | EXPERIENCE
Dawson College, Montreal 6/2004 - 7/2004, 6/2005 - 7/2005 Lecturer in Mathematics (Cont. Ed. Faculty) Courses: Calculus I, II or/and Linear algebra (NYA, 7 weeks) Duties: planning lectures and making them available on-line; recitations, tutorials, assignments, review materials, tests and marking schemes; contact through offices hours and email; invigilation; submitting grades NCJ Educational Services Westmount, QC 2/2004 - 6/2004 Senior Mathematics Tutor Duties: One-on-one tutoring and private instruction (including lesson planning, test administration, and standardized testing preparation (GRE; SAT I, II). A large part of my work is devoted to the math curriculum (exam) review program, an intensive preparation for all secondary levels. Review books are examined with great care and marked critically in accordance with the ministry guidelines. Tutor.com 2/2005 - present Mathematics Tutor Duties: Conducting 1-1 mathematics tutoring sessions online (using a chat applet and whiteboard), ranging from elementary to undergraduate levels. McGill University, Montreal 9/2002 - 8/2003 Graduate Teaching Assistant Duties (in the dept. of mathematics and statistics): grading, conducting recitations or/and organizing problem solving sessions, administering and marking quizzes, invigilating midterm and final examinations, tutoring lab. Private tutoring (through the McGill tutorial service on campus). Courses: single-variable calculus, complex variables and transforms (with applications to physics and engineering). Private instruction in calculus I-III, undergraduate algebra and analysis. University of Toronto: Department of Mathematics 9/1999 - 8/2002 Teaching Assistant Duties: grading, conducting recitations or/and organizing problem solving sessions, administering and marking quizzes, invigilating midterm and final examinations, tutoring lab. Courses: honors calculus, multivariable calculus, calculus for life science students, mathematical modelling, vector analysis, linear algebra, point-set topology, operator algebras and K-theory (graduate course/student seminar). |
| Career Interests: | University teaching/research in pure mathematics (and its physical applications). |
| Outside Interests: | Proficient in modern Greek.
Experienced pianist, former student of Judith Pollock (deceased): performance and composition. |
| Additional Information: | Adept with standard computer operating systems and programs: Windows platforms, Linux, LaTeX. |
| Message to Students and/or Parents: |
I am profoundly committed to a career of effective teaching and fostering scholarly activity. I am an organized, flexible and open-minded educator: I am willing to try new teaching strategies to better meet the needs of students. In particular, I am gradually incorporating more cooperative learning activities into the classroom. I do believe that my greatest strength as a teacher is my willingness to learn from my students. |
| Postings Answered: | 701 |
| Cumulative OTA Rating: | 4.7/5 What is OTA Rating? |
- Algebra : Solving Equations from Word Problems - Find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswol ...
- Operations with rational expressions - How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions? Can understanding how to work with one ...
- Equations - 1. What systems of equations can be solved by graphing or using substitution or elimination? Which method do you like best and why would it be different method. How would you answer this question? ...
- Solving Equations - Please see the attached file for the fully formatted problems. 1. The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 ...
- Word Problems - The distance from home plate to dead center field in Sun Devil Stadium is 401 feet. A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it first base to ...
- Pythagorean Method for Solving Quadratic Equations (Completing the Square) - Given a unit segment, solve the quadratic equation x^2 - 7x + 12 = 0 by the Pythagorean method and prove that the Pythagorean works for all quadatics of the form ax^2 -bx + c = 0.
- Irreducible Polynomials - Show that there are exactly (p^2-p)/2 monic irreducible polynomials of degree 2 over Z_p, where p is any prime. Using the definition of irreducibility, Theorem: A polynomial of degree 2 or 3 is irr ...
- Inverse functions - Please see problems and show step by step solution in detail please. --- 7.4 Inverse functions Differentiate the problems: 1) f(x) = ln(x^2 + 10) 2) f(à˜) = ln(cos à˜) 3) f(x) =log2(1-3x) ...
- AXLER Linear Algebra - I would have post the 8 review questions that I have from the book: "Linear Algebra Done Right" by Axler but rather, maybe somebody out there has the solutions manual in pdf. http://www.axler.net/ ...
- Ideals - Please answer each part in full: Let I and J be ideals of R: (a) Prove that I+J is the smallest ideal of R containing both I and J; (b) Prove that IJ is an ideal contained in I (intersection) ...
- Solving Quadratic Equations - Please see the attached file for the fully formatted problems. 1. Decide all values of b in the following equations that will give one or more real number solutions. Solve the following three ...
- Several Problems - (See attached file for full problem description) --- 2. Page 237, problem 102 Increasing deposits. At the beginning of each year for 5 years, an investor invests in a mutual fund with an av ...
- Laurent series - 2. Derive the Laurent series representation... Please see attached.
- Third Prime - Please help, figured out first two primes but am having allot of problems figuring out the third prime. Also need help with additional problem. Thanks Find lim x ->∞ ( (3x-2) / (3x+2) )^x ...
- Complex Analysis : Analytic Functions as Mappings - 1). Let G be a region and suppose that f : G -> C ( C is complex plane) is analytic such that f(G) is a subset of a circle. Show that f is constant. 2). If Tz = (az + b)/(cz + d), find necessary an ...
- Annihilators and Ideals - Let R be a commutative ring and let A be any subset of R. The annihilator of A, denoted by Ann(A), is the set {r in R:r(a)=0 for all a in A}. Show that Ann(A) is an ideal of R. See attached file ...
- Jordan's Lemma and Loop Integrals - Without evaluating the improper integrals and find the numerical value q of their quotient by considering the loop integral where is the semi-circular loop indented at the origin. ...
- If A ( B and B ( C, can you conclude that A ( C ? can you conclude that A ( C? - If A ( B and you conclude that A ( C? CAN YOU CONCLUDE THAT A ( C? if A ( B and B ( C, can you conclude that A ( C? can you conclude that A ( C? iF A ( B and B 9 C, can you conclude that A ( C? can ...
- Definitions of Fields and Vector Spaces in Terms of Algebraic Laws - Write a mathematical explanation which includes: A. Giving a definition for a field B. Redefine a vector space in such a way that only four axioms are required, and at the same time sufficient to c ...
- Accumulation point of Cantor set - Show that the set of accumulation points of Cantor set is the Cantor set itself?
