Curves, Surfaces and Differential Forms (2024)

Convener(s)
Name: Prof. V. M. Sholapurkar Dr. Vivek Mallick
Mailing Address: Bhaskaracharya Pratishthana, Pune. IISER, Pune
Email: vmshola at gmail.com vmallick at iiserpune.ac.in

Dates: 

Monday, December 2, 2024 - 19:00 to Saturday, December 14, 2024 - 19:00

Venue: 

Venue Address: 

BHASKARACHARYA PRATISHTHANA
56/14, Erandavane, Damle Path,
Off Law College Road, PUNE - 411 004.

 

 

Venue State: 

Venue City: 

PIN: 

411004

Syllabus: 

  Detailed Syllabus:

Topic: Theory and Examples of Curves and Surfaces
Speaker: Dr. Taniya Srivastava, IIT Gandhinagar.
    • Curves in the Plane and in Space
    • How Much Does a Curve Curve?
    • Global Properties of Curves
    • Surfaces in Three Dimensions

Topic:Introduction to Differential Manifolds
 Speaker: Dr. Vivek Mallick, IISER, Pune.
    • The Volume of a Parallelopiped
    • Volume of a Parametrized-Manifold
    • Manifolds in
    • The Boundary of a Manifold
    • Integrating a Scalar Function over a Manifold

Topic: First and second fundamental forms, Gaussian, mean and principal curvatures of a surface
Speaker: Prof. Nitin Nitsure, Bhaskaracharya Pratishthana, Pune.
    • The First Fundamental Form
    • Curvature of Surfaces
    • Gaussian Curvature and the Gauss Map

Topic: Differential Forms and Vector Calculus
Speaker: Prof. V. M. Sholapurkar, Bhaskaracharya Pratishthana, Pune.
    • Multilinear Algebra
    • Tangent Vectors and Differential Forms
    • The Differential Operator
    • Application to Vector and Scalar Fields

Reference Books

    1. Elementary Differential Geometry, Andrew Pressley, Springer.
    2. Analysis on Manifolds, James R. Munkres, CRC Press. 

Course Associates:

  1. Dr. Aman Jhinga (AJ)
  2. Dr. Vinod Ghale (VG)

Time Table: 

First week: 
2nd Dec 2024 to 14th Dec 2024

 

Monday

02/12/24

Tuesday

03/12/24

Wednesday

04/12/24

Thursday

05/12/24

Friday

06/12/24

Saturday

07/12/24

9:30
to
11:00

TS

TS

TS

TS

TS

TS

11:00 to
11:30

TEA BREAK

11:30 to
1:00

VM

VM

VM

VM

VM

VM

1:00
to
2:30

LUNCH BREAK

2:30
to
3:30

TS/AJ/VG

TS/AJ/VG

TS/AJ/VG

TS/AJ/VG

TS/AJ/VG

TS/AJ/VG

3:30
to
4:00

TEA BREAK

  

4:00
to
5:00

VM/AJ/VG

VM/AJ/VG

VM/AJ/VG

VM/AJ/VG

VM/AJ/VG

VM/AJ/VG

5:00
to
5:30

SNACKS

 

Second week:
9th Dec 2024 to 14th Dec 2024

 

Monday
9/12/24

Tuesday
10/12/24

Wednesday
11/12/24

Thursday
12/12/24

Friday
13/12/24

Saturday 14/12/24

9:30
to
11:00

VMS

VMS

VMS

VMS

VMS

VMS

11:00
to
11:30

TEA BREAK

11:30
to
1:00

NN

NN

NN

NN

NN

NN

1:00
to
2:30

LUNCH BREAK

2:30
to
3:30

NN/AJ/VG

NN/AJ/VG

NN/AJ/VG

NN/AJ/VG

NN/AJ/VG

SL

3:30
to
4:00

TEA BREAK

4:00
to
5:00

VMS/AJ/VG

VMS/AJ/VG

VMS/AJ/VG

VMS/AJ/VG

VMS/AJ/VG

SL

5:00
to
5:30

SNACKS

Selected Applicants: 

Instructions for the candidates are as given below:

1. Accommodation for the period of IST will be arranged for the outstation participants.
2. Local hospitality for the period of IST will be provided for all the participants.
3. Travel expenses will not be reimbursed.
4. Candidates should report at 9.00 am on 2nd December 2024 at Bhaskaracharya Pratishthana.
5. Address: Bhaskaracharya Pratishthana, 56/14, Erandavane, Damle Path, Off Law College Road, Pune - 411 004.

 

Serial SID Full Name Gender Affiliation Position in College/University University/Institute M.Sc./M.A. Year of Passing M.Sc./M.A Ph.D. Degree Date
1 58804 Dr. Mohammad Rafee Male RIMT University Assistant Professor Jamia Millia Islamia 2011 05/09/2020
2 58834 Ms. Sayali Yuvraj Nikam Female Modern Education Society's Wadia College of Engineering Assistant Professor Savitribai Phule Pune University 2019  
3 58845 Mr. Deepak Sambhaji Shelke Male Modern College of Arts, Science and Commerce Shivajinagar Pune PhD Student Department of Mathematics Savitribai Phule Pune University 2017  
4 58878 Dr. Nilanjan Bag Male Thapar Institute of Engineering and Technology, Patiala Assistant Professor Ramakrishna Mission Vidyamandira, Belur Math 2015 21/12/2020
5 58882 Dr. Anil Singh Male M A M College, Jammu Assistant Professor University of Jammu 2012 30/03/2022
6 58884 Mr Nikhil Bharti Male University of Jammu Ph. D. Student University of Jammu 2016  
7 58906 Ms. Arshi Yousuf Female National Institute of Technology PhD Scholar Central University of Kashmir 2022  
8 59076 Mr. Vinay Rana Male IIT ROPAR PhD University of DELHI 2020  
9 59081 Ms Laxmi Giridhar Bichhal Female Modern College of Arts, Science and Commerce, Ph.D student Solapur university ,solapur 2013  
10 59267 Ms. Aishwarya Suryakant Dabhole Female Abasaheb Garware College, Pune Asst. Professor ( CHB ) Savitribai Phule Pune University ( Abasaheb Garware College) 2023  
11 59319 Mr Sagar Basak Male INDIAN INSTITUE OF TECHNOLOGY (BHU) PhD Savitribai Phule Pune University 2021  
12 59456 Dr. Anshu Mala Female gretear noida Assistant Professor Gurukul Kangri Vishwidhalaya, Haridwar 2008 17/12/2021
13 59595 Mr. Jasbir Parashar Male IIT ROPAR PhD University of Delhi 2020  
14 59723 Ms Ashmita Singh Female IIT BHU(VARANASI). Ph.D Banaras Hindu University 2020  
15 59981 Mr Sanket Ramchandra Shete Male NA NA IISER Bhopal 2023  
16 60453 Ms Riya Riya Female IIT ROPAR PhD IIT BOMBAY 2023  
17 60607 Dr. V B Kiran Kumar Male Cochin University of Science And Technology Assistant Professor CUSAT 2008 21/03/2013
18 60733 Mr. Aakash Gupta Male Indian Institute of Science Education and Research Pune PhD Student (1st Year) Indian Institute of Science Education and Research Thiruvananthapuram 2023  
19 60934 Ms Pinki Khatun Female ASHOKA UNIVERSITY TEACHING FELLOW JADAVPUR UNIVERSITY 2018  
20 60962 Ms Nidhi Yadav Female Dr. Harisingh Gour Vishwavidyalaya PhD Dr. Harisingh Gour Vishwavidyalaya Sagar, Madhya Pradesh 2020  
21 60989 Ms Kirti Gupta Female Dr. Harisingh Gour Vishwavidyalaya (A Central University) PhD Dr. Harisingh Gour Vishwavidyalaya (A Central University) Sagar,470001, (M.P.) 2020  
22 61020 Ms. Vaishnavi K Kumar Female Anna university M.sc Anna university 2019  
23 61086 Ms Rakhi Pote Female Bharatesh Institute of Technology Assistant Professor Rani Channamma University, Belagavi 2012  
24 60755 Ms. Priya Birendra Kumar Singh Female Indian Institute of Science Education and Research, Pune PhD (1st year) Sardar Vallabhbhai National Institute of Technology, Surat 2023  
25 60877 Mr. Awanish Kumar Tiwari Male Agra College Agra Uttar Pradesh Assistant Professor B H U Varanasi 2006  

How to Reach: 

Click here

School Short Name: 

csdf

Last Date Application: 

Sunday, May 28, 2023

School Type: 

IST

Separate faculty form: 

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