Mr. Rizwan Khan

Academic Position:

Assistant Professor

Teaching Interests:

Love learning and being in a learning environment. I want to make a difference in people’s lives

Keywords:

Manifolds, Submanifolds, Leaves, Orbits of vector fields

Fields of Research (FoR):

Foliations theory, Differential Geometry, Dynamical systems

Department:

Contact Details:

Social Links

Student Advising Schedule:

BIOGRAPHY

Rizwan khan was awarded CAPES-Postgraduate scholarship by the Brazilian ministry of higher education in 2011. He received his PhD in Mathematics in 2016 from IM-UFRJ (INSTITUTO DE MATEMATICA Universidade Federal do Rio de Janeiro). In 2016 he joined the University of Peshawar, where he served as an assistant Professor (IPFP) and has offered various courses at MPhil and PhD including Differential Topology, Differential Geometry and Riemannian Geometry. His research is situated in the field of Differential Geometry, with a special focus on Geometric Theory of Foliations. He then joined University of Lahore (Gujrat) as an assistant professor in 2019. Rizwan khan offers several courses on Differential Geometry. He teaches the Riemannian Geometry, Lie Groups and Lie Algebras, Minimal Surfaces and Differential Geometry of Curves and Surfaces.

ACADEMIC APPOINTMENTS

No.  Designation School/Institute/University
1. Assistant Professor The University of Chenab 1st May 2022- till to date
2. Assistant Professor University of Lahore (Gujrat)11 September 2019- 30 April 2022
3. Assistant Professor University of Peshawar (IPFP) December 2016-December 2017

MY QUALIFICATIONS

No.  Degree / Program of Study Name Awarding Body/University/Institute
1. PhD (Mathematics) (Feb 2016) Institute of Mathematics Federal University of Rio de Janeiro Brazil
2. MSc (Mathematics)( March 2008) University of Peshawar
3. BSc ( OCT2005) Government Superior Science College Peshawar
4. FSc (Pre Engineering) (august 2003 Government Superior Science College Peshawar
5. SSc(June 2001) BISE Peshawar

MY RESEARCH SUPERVISION:

Areas of Supervision  Foliations Theory, Differential Geometry

Currently Supervising

Student Name Research Topic Affiliation
  1. Fatima Imtiaz
Existence of symlectomorphism between symplectic manifolds Mathematics department University of Lahore (Gujrat)
  1. Sara Altaf
Milnor fibration theorem and its applications  Mathematics department University of Lahore (Gujrat)
  1. Maria Javed
Existence of stable compact leaves for transversely holomorphic foliations Mathematics department University of Lahore (Gujrat)
  1. Kiran Ansar 
Existence of foliation by maximal integral manifolds Mathematics department University of Lahore (Gujrat)

Completions

Student Name Research Topic Affiliation
  1. Fatima Hasan
Classifications of simply connected complete surfaces with Non-positive Gaussian curvature Mathematics department University of Lahore (Gujrat)
  1. Misbah Liaqat 
Poincare Bendixson theorem for the orbits of plane vector fields Mathematics department University of Lahore (Gujrat)

MY TEACHINGS:

Course Information (Name/Code) Year Taught Program (BS/MS/PhD) University /Institute
  1. Optimization-I MATH-10118
Fall 2019 MS University of Lahore (Gujrat)
  1. Advance Measure Theory 
MATH-12134
Fall 2019 MS University of Lahore (Gujrat)
  1. Riemannian Geometry
Spring 2020 MS University of Lahore (Gujrat)
  1. Lie Groups and Lie Algebras
Fall 2020 MS University of Lahore (Gujrat)
  1. Minimal Surfaces MATH-11110
Spring 2021 MS University of Lahore (Gujrat)
  1. Complex Analysis-I MATH-303
Spring 2019 BS University of Lahore (Gujrat)
  1. Differential Geometry 
MATH-306
Spring 2021 Fall 2021 BS University of Lahore (Gujrat)
  1. Real Analysis II MATH-307
Spring 2021 Fall 2021 Spring 2022 BS University of Lahore (Gujrat)
  1. Differential Geometry 
MATH-306
Summer 2021 BS University of Lahore (Gujrat)
  1. Meaure Theory and Lebesgue Integration 
MATH-416
Fall 2021 Spring 2022 BS University of Lahore (Gujrat)
  1. Differential Geometry
Fall 2016 PhD University of Peshawar
  1. Complex analysis
Fall 2016 PhD University of Peshawar
  1. Riemannian Geometry 
Spring 2017 MSc University of Peshawar
  1. Affine and Euclidean 
Geometry
Spring 2017 BS University of Peshawar
  1. Topology
Spring 2017 MSc University of Peshawar
  1. Real Analysis I
Summer 2022 BS University of Chenab