Assistant Research
Resume:
Curriculum Vitae
PREETI MOHINDRU
San Jose, CA, 95127, USA
Email: ******.********@*****.***
ACADEMIC QUALIFICATIONS
Doctor of Philosophy in Applied Mathematics, University of Guelph, Canada, 2012 2014
Concentration: Completely Positive Matrices over Semirings
Research Interest: Matrix analysis, Semiring theory, Graph theory, Combinatorics
Dissertation focus: My research initialized the study of completely positive matrices (CP) over
semirings. I discovered effective algorithms for complete positivity for matrices over special semirings
and proved the truth of the famous Drew Johnson Loewy Conjecture (1994) for completely positive
matrices over certain special semirings. My work has applications in Graph Theory, Optimization
Theory and Networking.
Master of Science in Applied Mathematics, University of Guelph, Canada, 2010 2012
Concentration: Matrices over Semirings
Research Interest: Sign Pattern Matrices, Semiring Theory, Matrix Analysis
Thesis focus: This study examined a semiring version of the Cayley Dickson construction to establish a
relationship between special semirings and to compare different notions of rank functions of matrices
over symmetrized semirings.
Master of Science in Mathematics (Honors), Panjab University, India, 2007 2009
Course Based: Completed ten graduate level courses and developed a strong conceptual understanding
of mathematical concepts.
Bachelor of Arts, Government College Tanda Urmar, India, 2004 2007
Earned a good theoretical knowledge of Mathematics and Economics.
TEACHING EXPERIENCE
Teaching Assistant epartment of Mathematics & Statistics, University of Guelph, ON, Canada
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Fall 2010, Winter 2011, Fall 2012, Winter 2013, Fall 2013, Fall 2014
● Mathematics & Statistics drop in learning centre
● Abstract Algebra, (Math 3130)
● Complex Analysis, (Math 3260)
● Numerical Methods, (Math 2130)
● Elements of Calculus I, (Math 1080)
● Applied Matrix Algebra & Linear Algebra 1, (Math 2150\60)
Preeti Mohindru
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● Applied Matrix Algebra, Distance Education, (Math 2150)
● Calculus II, (Math 1210)
● Calculus I, (Math 1200)
orked th students individually on their mathematical problems at the University Learning Center.
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ovided fice hours for one on one help.
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arked signments, midterms and final exams.
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vigilated idterms and final exams.
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Lab Instructor epartment of Mathematics & Statistics, University of Guelph, ON, Canada,
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● Applied Matrix Algebra & Linear Algebra 1, (Math 2150\60), Fall 2013
ught b sessions twice a week.
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vised pics and esented amples on material covered in class.
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swered udents’ questions in the lab, by email, and one on one.
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● Numerical Methods, (Math 2130), Winter 2013
ught b sessions once a week.
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ed overhead projector in teaching.
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orked homework / practice problems related to the material covered in class.
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rovided fice hours for extra help outside the lab.
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Invited Lecture epartment of Mathematics & Statistics, University of Guelph, ON, Canada, inter
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2013
epared d ght Mathematics lecture to a class of 300 engineering students.
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veloped systematic approach in teaching mathematical contents.
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Private Tutoring
ps://www.uoguelph.ca/tutoring/welcome tutoring guelph tag
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Teaching university students one on one at the University of Guelph, Fall 2010 Present.
ught students (K 12) in groups in Surrey, B.C., Canada, 2009 2010.
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RESEARCH EXPERIENCE
PhD Dissertation: (2012 14), Research funded by Graduate Research Assistantship, OGS and
QEII GSST
● Extended notion of complete positivity for matrices over real numbers to matrices over
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semirings.
● Discovered cessary and sufficient conditions for matrices over special semirings to be
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completely positive (CP).
● Generalized rious results about real CP matrices to CP matrices over special semirings.
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● Provided algorithm of factoring special types of CP matrices over certain semirings.
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● Proved famous twenty years old conjecture (the DJL conjecture) for CP matrices over special
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semirings.
● Defined family of ranks of matrices over certain semirings and classified all bijective linear
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maps which preserve these ranks.
Preeti Mohindru
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● Presented ork at conferences.
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● Published ork independently and collaboratively with my advisor.
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● Developed e ability to handle several tasks simultaneously.
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● Defended esis successfully.
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An article about my PhD work and interests got published on the University of Guelph homepage as an
online story At Guelph. p://atguelph.uoguelph.ca/2015/01/the matrix and the mathematician/
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Master’s Thesis: (2010 12), Research funded by Graduate Research Assistantship and QEII GSST
● Investigated d mpared fferent notions of rank functions of matrices over the
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symmetrized semiring.
● Established relationship between the Boolean semiring and the sign pattern semiring using a
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semiring version of the Cayley Dickson construction.
● Discovered unds for the period and the base of a special type of matrices over the sign
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pattern semiring.
● Developed lf directness and managed various projects.
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● Used aTex and Matlab successfully.
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PUBLICATIONS
[R] Mohindru he Drew Johnson Loewy conjecture for matrices over max min semirings, near
,
P. T Li
and Multilinear Algebra ol. 63, no. 5, (2015), 914 926., v
[R] Mohindru and R. Pereira an’s epsilon determinant and ranks of matrices over semirings,,
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International Scholarly Research Notices, l. 2015, Article ID 242515, 015)
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[R] Mohindru ompletely positive matrices over Boolean algebras and their CP k, ecial,
P. C ran Sp
Matrices ol. 3, Issue 1, 2015, 69–81., v
[R] Mohindru and R. Pereira rderings on semirings and completely positive matrices, near,
P. O Li
and Multilinear Algebra ccepted (2015)., a
[R] Mohindru rd , Goodman and P a theorem for fuzzy graphs, Submitted to zzy sets and, o o
P. E s s Fu
Systems 2014)., (
[R] Mohindru and R. Pereira he DJL conjecture for CP matrices over special inclines, Submitted,
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to mmunications in Algebra 2014).
Co, (
[R] Z. Song, L. B. Beasley, P. Mohindru, and R. Pereira reservers of Completely Positive Matrix,
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Rank, Submitted to near and Multilinear Algebra, 015).
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PROFESSIONAL MEMBERSHIPS
The American Mathematical Society (AMS), 2010 Present.
SCHOLARSHIPS AND AWARDS
From 2010 2014, I have received a total of around $37,500 from grants and scholarships, of which
$25,000 was granted externally.
Ontario Graduate Scholarship (OGS), ($10,000), 2014.
Preeti Mohindru
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University of Guelph Graduate Scholarship (Dean’s Scholarship) ($3350), 2012, 2013, 2014.
Department of Mathematics and Statistics Award ($500), 2013.
Queen Elizabeth II Graduate Scholarship in Science and Technology (QEII GSST), 5000), 2011,
($
2012, 2013.
University of Guelph Graduate Scholarship (Dean’s Scholarship), ($1150), 2010, 2011.
Certificate of Merit, 2004, 2005, 2006.
SERVICE
Member, eaching Assistant Advisory Council, University of Guelph, (TAAC), 2010 2014.
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Registration Clerk rad Orientation, University of Guelph, 2 September 2014., G
Volunteer waste Awareness Workshop, University of Guelph, 17 August 2014., E
Registration Clerk raduate Student University Teaching Conference, University of Guelph,, G
September 2012.
CONFERENCES
● Presenter “The DJL conjecture for matrices over semirings and inclines”, Quantum
Information & Geometric Statistics, University of Guelph, November 2014.
● Presenter “Effective Teaching Strategies in Mathematics”, Graduate Student University
Teaching Conference, University of Guelph, August 2014.
● Participant e 11th Canadian Quantum Information Student’s Conference, University of
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Guelph, June 2014.
● Participant he 14th Canadian Quantum Information Summer School niversity of Guelph,,
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June 2014.
● Presenter The DJL Conjecture for CP Matrices Over Max min Semirings”, Southwestern
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Ontario Graduate Mathematics Conference, University of Guelph, May 2014.
● Participant Graduate Student University Teaching Conference, University of Guelph, 2010,
2011.
● Participant Symposium on Teaching Mathematics in Higher Education, University of
Toronto Scarborough, 2011.
SPECIAL TRAINING
Dissertation Boot Camp niversity of Guelph, 2014., U
veloped effective writing skills and habits.
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Brain Food workshops niversity of Guelph, 2011., U
Learned effective ways to approach research and writing.
The Scholarly Project and Research Management Course niversity of Guelph, 2011., U
arned how to manage scholarly investigation including finance, research integrity and business
Le
development,
Preeti Mohindru
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