Prithwijit De

Professional Experience:

1. Associate Professor: July, 2020 -  

    Reader: July, 2012 - June, 2020

    Fellow: April, 2010 - June, 2012 

1.1 National Coordinator, Mathematical Olympiad (email: nc_matholy@hbcse.tifr.res.in)

1.2 Regional Coordinator, Mumbai region

2. Associated with the Mathematical Olympiad programme (http://olympiads.hbcse.tifr.res.in/subjects/mathematics/mathematics-cell) in India. 

International experience:

    i) Leader of the Indian team to the International Mathematical Olympiad 2023, Chiba, Japan 

    ii) Leader of the Indian team to the European Girls' Mathematical Olympiad 2020, Egmond aan Zee, The Netherlands (virtual)

    iii) Leader of the Indian team to the European Girls' Mathematical Olympiad 2018, Florence, Italy

   iv) Leader of the Indian team to the International Mathematical Olympiad 2016, Hong Kong

   v)  Observer A of the Indian team to the International Mathematical Olympiad 2015, Chiang Mai, Thailand.

    vi) Observer A of the Indian team to the International Mathematical Olympiad 2014, Cape Town, South Africa.

   vii) Deputy Leader of the Indian team to the International Mathematical Olympiad 2011, Amsterdam, The Netherlands.  

3. I have participated as a resource person in various Mathematics Olympiad training camps at both regional (RMOTC) and national level (INMOTC).  

4. Member of the Editorial Committee of ''At Right Angles'', a publication of Azim Premji University together with Community Mathematics Centre, Rishi Valley, India  (http://www.azimpremjiuniversity.edu.in/publications).
 

Publications:

I. Articles 

21. The Odd-Even Tale

      Prithwijit De

      At Right Angles (India), pp.126 - 129, Vol.7, No.2, July 2018 

20. On an Optimization Problem 

     Prithwijit De 

     At Right Angles (India), pp. 80 - 82, Vol.7, No.1, March, 2018 

19. A Geometric Inequality and its Generalization 

      Prithwijit De 

      The Mathematics Teacher, pp. 4 - 10, Vol. 53, Issues 3 and 4, 2017.

18. A Triangle Problem and Three Variants 

     Prithwijit De

     At Right Angles (India), pp. 31 - 36, Vol. 6, No. 3, November, 2017

17. LFHC - Area, Perimeter and Congruency (APC)

    Prithwijit De, Swati Sircar, Sneha Titus

    At Right Angles (India), pp. 53 - 58, Vol. 6, No. 3, November, 2017 

16. On Problem Posing

    Prithwijit De

    At Right Angles (India), pp. 82 - 85, Vol. 6, No. 2, August, 2017

15. The Arithmetic Mean - Geometric Mean - Harmonic Mean Inequalities and a Spectrum of Applications

   Prithwijit De

   Resonance, pp. 1119 - 1133, Vol. 21, Issue 12, December, 2016

14. An Eye on Eyeball

    Prithwijit De

    At Right Angles (India), pp. 34-37, Vol. 5, No.2, July, 2016

13.  A Golden Maximum.
     Prithwijit De
     Mathematical Spectrum (U.K), pp. 132-133, May, 2014.

12.  A Fair Division.
     Prithwijit De, Sneha Titus, Swati Sircar
    At Right Angles (India),pp.31-34,Vol. 3, No.1,March,2014

11.  Always a Cube.
    Prithwijit De
    Mathematical Spectrum (U.K), pp.29-33, September, 2012.

10. A Sweetseller’s Trick.
    Prithwijit De
    At Right Angles (India), pp. 17-19, Vol 1, No. 1, June, 2012.

9.  Height of Difficulty.
     Prithwijit De
     Mathematical Spectrum (U.K), pp. 80-85, January, 2012.

8. Message in a Bottle.
    Prithwijit De
   Mathematical Spectrum (U.K), pp. 50-52, January, 2011.

7.  A Pouring Problem.
     Prithwijit De
     Mathematical Spectrum (U.K), pp. 3-5, September, 2010.

6. Caught up in a Box.
    Prithwijit De
    Mathematical Spectrum (U.K), pp. 115-121, May, 2010.

5.  A Farmer and a Fence.
     Prithwijit De
     Mathematical Spectrum (U.K), pp.75-82, January, 2010.

4.  Curious properties of the circumcircle and incircle of an equilateral triangle.
      Prithwijit De
      Mathematical Spectrum (U.K), pp.32-36, September, 2008.

3.  A pair of insoluble Diophantine equations arising from an equilateral triangle.
      Prithwijit De
      Mathematical Gazette (U.K), July, 2008.

2.  Radii of touching circles: a trigonometric solution.
       Prithwijit De
       Mathematical Spectrum (U.K), pp. 70-74, January, 2009.

1.  From Immersion Heaters to Buoys.
       Prithwijit De, Des MacHale
       Mathematical Gazette (U.K), pp.519-521, November, 2007.

 

II. Problems for which my solution was either published or acknowledged. 

1.  American Mathematical Monthly (MAA publication)

website: http://www.maa.org/publications/periodicals/american-mathematical-monthly

Total: 65

2024: (2+) 

12371

12343 (June, 2024)

2023: (1)

12253 (March, 2023)

2022: (4) 

12184 (with B.Sury), 12190 (February, 2022), 12231(Aug-Sep, 2022), 12238 (December, 2022)

2021: (7)

12165 (November, 2021)

12154 (Aug - Sep, 2021)

12147 (June - July, 2021)

12140 (with B. Sury), 12144 (May, 2021)

12123 (February, 2021) 

2020: (2)

12083, 12086 (August - September, 2020)

 

2019: (1)

11961 (Jan, 2019)

 

2018: (5)

11942 (Aug-Sep, 2018)

11905 (February 2018)

11890, 11897, 11899 (January 2018)

 

2017: (2)

11881 (December, 2017)

11857 (May, 2017)

2016: (6)

11816, 11822 (with B. Sury and N. V. Tejaswi)

11815( Nov, 2016)

11754 (Mar 2016)

11737, 11758 (Jan 2016)

2015: (2)

11714 (Jun-Jul, 2015)

11690 (Mar, 2015)

2014: (3)

11663, 11670 (Oct, 2014)

11630 (Jan, 2014) 

 

2013: (2)
11622 (Dec, 2013)
11596 (May, 2013)

2012: (5)
11552, 11554 (Oct, 2012)
11550 (Aug-Sep, 2012)
11509 (May 2012)
11511 (pp.69-70, January, 2012)

2011: (4)
11486, 11492 (November, 2011)
11457 (April, 2011)

11443 (March, 2011)

2010: (3)
11386 (May, 2010)
11385 (March, 2010)
11357 (February, 2010)

2009: (3)
11325 (Aug-Sep, 2009)
11301, 11306 (Jan, 2009)

2008: (6)
11289 (October, 2008)
11275 (Sep, 2008)
11245 (May, 2008)
11263 (April, 2008)
11240 (February, 2008)
11228 (January, 2008)

2007: (6)
11177 (pp.838,November, 2007)
11210, 11211, 11225  (October, 2007)

11160, 11168 (May, 2007)

2006: (1)

10483 (Jun-Jul, 2006)   

2. Crux Mathematicorum (A renowned problem-solving journal published by the Canadian Mathematical Society)

website: https://cms.math.ca/crux/

Total: 274

2024: (13+)

May - June: 4896, 4898, 4901, 4902, 4904, 4905, 4907, OC658

Mar - Apr: 4874, 4886, OC653

Jan - Feb: 4859, 4861

2023: (37)

Nov - Dec: 4833, 4838, 4841, 4842, 4846, OC635

Sep - Oct: 4812, 4813, 4814, 4817, 4820, 4826, 4827, MA208, OC620, OC621, OC623

May - Jun: 4792, 4795, 4797, 4801, 4804, 4810, OC610, OC615 

Mar - Apr: 4784, MA188, MA192, OC596, OC603

Jan - Feb: 4754, 4755, 4764, 4769, MA178, MA180, OC593

2022: (48)

Nov - Dec, 2022: MA171, MA174  

Sep - Oct, 2022: 4722, 4726, 4728, MA160, MA165, OC 568, OC 569 

May - Jun, 2022:  4694, 4695, 4698, 4699, 4700, 4705, MA146, MA147, MA150, MA152, MA154, MA 155, OC 561, OC 564 

Mar - Apr, 2022: 4671, 4672, 4676, 4680, 4684, 4688, MA 136, MA 137, MA 142, MA 145, OC 551, OC 554

Jan - Feb, 2022: 4656, 4658, 4661, 4664, 4665, 4666, 4667, MA 131, MA 132, MA 133, OC 536, OC 537, OC 541

2021: (21)

Dec 2021: 4643

Nov 2021: 4637, 4639

Sep 2021: OC518, OC519

June 2021: MA105, 4602, 4604, 4606

May 2021: 4591, 4593 

April 2021: 4581, 4586, OC 503

March 2021: 4579, 4580

February 2021: 4562, OC 491, OC 495

January 2021: 4560, OC489

2020: (27)

December 2020: 4541,4545, 4547, 4549

November 2020: 4532, 4535

October 2020: 4522, 4523, 4524, 4525, 4526, 4529, OC473, OC474

September 2020: 4511, 4512, 4516, 4518, 4519, OC468

June 2020: 4504, 4505, 4508

April 2020: 4482

May 2020: OC 459

March 2020: 4472 

Feb 2020: 4470

 

2019: (14)

Nov 2019: 4432, 4435, 4440

Oct 2019: 4422, OC 425

Sep 2019: 4413, 4415, 4416, 4419

July 2019: 4383, 4385, 4386

May 2019: 4366

Mar 2019: 4335

 

2018: (15)

Sep 2018: 4269

Apr 2018: 4233, 4237, CC267

Mar 2018: OC 311, OC 312, 4221, 4224

Feb 2018: 4215, 4219

Jan 2018: 4204, 4206, OC301, OC302, OC303

 

2017: (17)

Dec 2017: 4192, 4197

Nov 2017: 4184, 4189

Oct 2017: 4171, 4175, 4177, CC239

Sep 2017: 4161

Jun 2017: 4160

Mar 2017: 4126 , 4129

Feb 2017: CC206, CC210, 4116, 4117

Jan 2017: 4108

 

2016: (17)

Dec 2016: 4095, 4099, CC200

Oct 2016: 4074, 4077, 4079, 4080, OC240.

Sep 2016: OC 233

May 2016: 4041, 4047, 4048, 4049, 4050

Apr 2016: 4037

Feb 2016: 4011

Jan 2016: 4008

 

2015: (15)

Dec 2015: 3993, 3994, 3997, 3998

Oct 2015: 3971, 3974

May 2015: 3948

Apr 2015: 3931 (pp.173-174), 3933 (pp.175-177), 3934 (pp.177), 3937 (pp.182), 3939 (pp.184-185)

Feb 2015: 3911 (pp.78-79), 3912 (pp.79-80)

Jan 2015: 3903 (pp.34 - 35)

 

2014: (23)

Dec 2014: 3891 (pp.439-440), 3897 (pp.447-448), 3898 (pp.448-449), 3899 (pp.449 - 451)

Nov 2014: 3882 (pp.396-397); 3885 (pp.399-400)

Sep 2014: 3862 (pp. 303); 3866 (pp. 307-309)

Jun 2014: 3853 (pp. 264); 3855 (pp.265); 3856 (pp.266)

May 2014: 3841 (pp.217-218)

April 2014: 3832 (pp. 168-171); 3833 (pp. 171-172);  3834 (pp.172-173)

Mar 2014: 3822 (pp.125-126); 3828 (pp. 131-132)

Feb 2014: 3812 (pp.77-78); 3814 (pp.80-81); 3816 (pp.84-85); 3818 (pp.86-87)

Jan 2014: 3807 (pp.40-41), 3808 (pp. 41-42)

 

2013: (9)

Nov 2013: 3782 (pp. 419-420), 3783 (pp. 420-421)

Sep 2013: 3763 (pp. 328-330)

Jun 2013:  3753 (pp. 279-280), 3755 (pp. 281-282)

May 2013: 3749 (pp. 242-243)
April 2013: 3731 (pp.189)
March 2013: 3727 (pp.151-152), 3728 (pp.153)

 

2012: (9)
June 2012: 3660 (pp.256)
May 2012: 3643 (pp.203), 3647 (pp. 208 - 209)
April 2012: 3632 (pp.154-155), 3635 (pp. 158-159)
March 2012: 3627 (pp.116-117)
February 2012: 3611 (pp.71), 3613 (pp.73)
January 2012: 3609 (pp.39-40)

 

2011: (9)
December 2011: 3598 (pp.556-557)
November 2011: 3576 (pp.463-464), 3577 (pp.464-465)
October 2011: 3556 (pp.395-396)
April 2011: 3528 (pp.178-179), 3532 (pp.184-185)
Mar 2011: 3514 (pp.117), 3525 (pp.127)
Feb 2011: 3505 (pp.57)

3. The College Mathematics Journal (MAA publication)

website: http://www.maa.org/publications/periodicals/college-mathematics-journal/the-college-mathematics-journal

September 2015: 1031 (pp.301-302), 1034 (pp. 305-306)

May 2014: 1003 (pp.224-226)

March 2014: 998 (pp.148-149)

January 2014: 995 (pp.63-64)

November 2013: 989 (pp. 442-444)
March 2013: 971 (pp.143), 972 (pp.144), 973 (pp.144-146), 974 (pp.146-147), 975 (pp.147-148)
September 2009: 883 (pp.297-299), 885 (pp.301-303)

May 2009: 877 (pp.217-218)

4. The Mathematical Gazette (UK)

 website: http://www.m-a.org.uk/jsp/index.jsp?lnk=620

November 2021: 105.C

March 2021: 104.E 

July 2017: 100.K (pp.342)

March 2017: 100.F (pp.154-156)

July 2012: 95.I (pp.352) 

5. Mathematics Magazine (MAA publication)

website: http://www.maa.org/publications/periodicals/mathematics-magazine

June 2021: 2100

January 2021: 2086 (with B.Sury),

February 2019: 2037

February 2018: 2012

December 2017: 2004 (pp. 387)

October 2017: 1997 (pp.301-302)

December 2015: 1952 (pp.379-380)

February 2015: 1936 (pp.74-75)

February 2014: 1911 (pp.63)
December 2013: 1906 (pp. 383)
April 2013: 1891 (pp.148-149)
June 2012: 1873 (pp.231-232)
April 2008: 1767 (pp. 157)
October 2007: 1754 (pp.312)
April 2007: 1743 (pp. 148), 1744 (pp. 148-149)
February 2007: 1736 (pp.78-79), 1738 (pp.80)
June 2006: 1723 (pp.221-222)

 

6. Irish Math.Soc.Bulletin

website: http://www.maths.tcd.ie/pub/ims/bulletin/

Winter 2012: 68.2 (pp.70-71)
Winter 2013: 70.1 (pp.102-103)

Winter 2017: 78.1 (pp.88), 78.2 (pp.89-90)(jointly with Prof. Finbarr Holland)

Winter 2021: 86.2

7. Mathematical Excalibur (Hong Kong)

website: https://www.math.ust.hk/excalibur/

Problem 415 (pp.4, Vol. 17, No. 5, March-April, 2013)

Problem 466 (pp.3, Vol. 20, No. 1, July - October, 2015)

Problem 468 (pp.3, Vol. 20, No. 1, July - October, 2015)

Problem 486 (pp.3, Vol. 20, No. 5, Aug - September, 2016)

Problem 489 (pp.3, Vol. 20, No. 5, Aug - September, 2016)

Problem 491 (pp.3, Vol. 21, No.1, Oct 2016 - March 2017)

Problem 526, 527 (pp.3, Vol 22, No.3, Feb - April, 2019)

Problem 531 (pp.3, Vol.22, No.4, May - October, 2019)
 

8. Mathematical Reflections {http://awesomemath.org/mathematical-reflections/}

Mathematical Reflections 5 (2016): J385 (pp.1), J389 (pp.5), S385 (pp.7), O385 (pp.20), O386 (pp.21)

Mathematical Reflections 2 (2016): S371 (pp.11)

Mathematical Reflections 3 (2015): J339 (pp.3), S338 (pp.9)

Mathematical Reflections 1 (2015): S327 (pp.11-12), U326 (pp.17)

Mathematical Reflections 6 (2014): J320

Mathematical Reflections 5 (2014): J313 (pp.1), J317 (pp.6), S314 (pp.9), S315 (pp.10), S316 (pp.11-12), S317 (pp.13)

Mathematical Reflections 4 (2014): J308 (pp.2), J311 (pp.5), J312 (pp.6), S307 (pp.7), U309 (pp.15)

Mathematical Reflections 2 (2014): J295 (pp.1)

Mathematical Reflections 3 (2013): J265 (pp.1).
Mathematical Reflections 1 (2013): J256 (pp.4), S253 (pp.7).

Mathematical Reflections 6 (2012): J249 (pp.3), S247 (pp.7), S248 (pp.8).
Mathematical Reflections 5 (2012): J243 (pp.3), S241 (pp.7), S245 (pp.11), O241 (pp.21).
Mathematical Reflections 4 (2012): J235 (pp.1), J237 (pp.3), S235 (pp.7).
Mathematical Reflections 2 (2012): J223 (pp.1), J225 (pp.3), S224 (pp.8), S228 (pp.12).
Mathematical Reflections 6 (2011): S211 (pp.7).
Mathematical Reflections 5 (2011): J199 (pp.1), J200 (pp.2), S201 (pp.9).
Mathematical Reflections 3 (2011): J188 (pp.2), J191 (pp.5), J192 (pp.6-7), S187 (pp.8), S190 (pp.11).
Mathematical Reflections 2 (2011): S181 (pp.8).
Mathematical Reflections 1 (2011): J175 (pp.1).
Mathematical Reflections 4 (2010): J163 (pp.1), J167 (pp.6), S164 (pp.11), S168 (pp. 17-18).

 III.  Problems whose solutions were submitted and awaiting publication/acknowledgement 

1. American Mathematical Monthly:  12371, 12384, 12385, 12402, 12407, 12414, 12430, 12442,12455, 12471

2. CRUX Mathematicorum:  4911, 4913, 4914, 4917, 4923, 4932, 4936, 4938, 4946, 4951, 4952, 4961, 4964, MA 271, MA 274, OC693 

3. The College Mathematics Journal:

4. Mathematics Magazine:  2133

5. Mathematical Reflections:

6. Irish Math. Soc. Bulletin: 

7. Mathematical Excalibur:

8. Mathematical Gazette: 106.C, 108.E

Teaching Experience at Undergraduate and Postgraduate Level (taught at Centre for Excellence in Basic Sciences, Mumbai):

1. Jan - Apr, 2019: Discrete Mathematics

2. Aug-Nov, 2018: Number Theory 

3. Jan-Apr, 2015: Differential Equations and Dynamical Systems; Graph Theory

4. Aug-Nov, 2014: Introduction to Calculus.  (course shared)

5. Aug-Nov, 2013: Introduction to Calculus. (course shared)

6. Aug-Nov, 2012:  Discrete Mathematics.

Teaching Experience at Undergraduate and Postgraduate Level (taught at Centre for Excellence in Basic Sciences, Mumbai):

International Level

 2020: Leader (EGMO)

 2018: Leader (EGMO)

 2016: Leader (IMO)

  2015: Observer A (IMO)

  2014: Observer A (IMO)
  2011: Deputy Leader of the Indian IMO team.

National Level

1. Faculty for the International Mathematical Olympiad Training Camp (IMOTC). 

2. Faculty for the EGMO Training Camp: 2018, 2019

3. Faculty for the following Indian National Mathematical Olympiad Training Camp(s) (INMOTC)

*2023: Kochi, Kerala; Delhi

*2022: Mumbai, Maharashtra 

 *2020: Delhi; Mumbai, Maharashtra; Sikkim; Kolkata, West Bengal; Chennai, Tamil Nadu

 * 2019: Mumbai, Maharashtra; SMIT, Majitar, Sikkim; Kochi, Kerala; Bangalore, Karnataka

 * 2018: Mumbai, Maharashtra; JNV Rural, Bangalore, Karnataka; Kochi, Kerala; Chennai, Tamil Nadu

 * 2017: Chennai, Tamil Nadu; Bangalore, Karnataka.

 * 2015:  Bangalore, Karnataka;  Mumbai, Maharashtra; Chennai, Tamil Nadu.
∗ 2014: Bangalore, Karnataka; Dhamtari, Chhattisgarh; Chennai, Tamil Nadu.
∗ 2013: Chandigarh, Punjab; Raipur, Chhattisgarh; Chennai, Tamil Nadu.
∗ 2012: Durg, Chhattisgarh; Kolkata, West Bengal; Chennai, Tamil Nadu.
∗ 2010: Mumbai, Maharashtra.

Regional Level

Faculty for the following Regional Mathematical Olympiad Training Camp(s) (RMOTC)

 * 2017: IMA, Bhubaneshwar.

 * 2016: IMA, Bhubaneshwar.

 * 2015: Pachhunga University College, Aizawl, Mizoram

 * 2014: IMA, Bhubaneswar, Manipur University, Imphal, Manipur; Assam Academy of Mathematics, Guwahati, Assam; Noth Eastern Hill University, Shillong, Meghalaya

∗ 2013: Jawahar Navodaya Vidyalaya, Thiruvananthapuram; Atomic Energy Central School 4, Aunushaktinagar, Mumbai; IMA, Bhubaneswar.
∗ 2012: Jawahar Navodaya Vidyalaya, Thiruvananthapuram; Atomic Energy Central School 4, Aunushaktinagar, Mumbai; Parle Tilak
              Vidyalaya, Vile Parle, Mumbai, IMA, Bhubaneshwar.
∗ 2011: Atomic Energy Central School 4, Anushaktinagar, Mumbai.
∗ 2010: Atomic Energy Central School 4, Anushaktinagar, Mumbai.

Talks/Lectures

February 2024: Took two sessions at the Mathematics Problem Solving Workshop for UG and PG students of Mumbai held at HBCSE, Mumbai.  

October 2023: Delivered a talk at the Annual Interaction Meet (AIM), 2023 held at HBCSE, Mumbai

June 2023: Lectured at the Madhava Nurture Camp held at St. Xavier's College, Ahmedabad.

May 2023: Lectured at the Epsilon India camp held at Chennai Mathematical Institute, Chennai. 

March 2023:

Delivered a talk titled "An Invitation to the Indian Mathematical Olympiad Programme" at the Vidyasagar Science Olympiad Nurture Programme organised by JBNSTS, Kolkata.

December 2022: 

November 2022: 

May 2022: At Right Angles Webinar: "A Mathematical Take Away"

November 2021: Delivered a lecture at the Undergraduate Colloquium of the Department of Mathematics of Illinois State University, USA. 

Title of the talk: Some Geometry Problems in Real Life

October 2018: Delivered a lecture at JSO-JMO, 2018 organised by Atomic Energy Education Society and held at Atomic Energy Junior College, Anushakti Nagar, Mumbai 

October 2017: Delivered a lecture at JSO -JMO, 2017 organised by Atomic Energy Education Society and held at Atomic Energy Junior College, Anushakti Nagar, Mumbai

July 2017: Conducted a session on "Problem Solving and Designing" in APU-HBC-RMS workshop at HBCSE, Mumbai

November 2016: Conducted four sessions on Trigonometry for in-service teachers of Delhi Public School from all over India in a programme held at Delhi Public School, R. K. Puram, New Delhi

October 2016: Lectured Gujarat RMSA Teachers. Title: Interesting Problems for the Classroom
Lectured JSO/ JMO students at AECS 3. Title: Triangle Centres and their properties.          

May 2016: Lectured KV TGT teachers on Problem Solving at HBCSE, Mumbai, India

 

November 2015: Delivered a talk on "Pythagorean Triples and Much More" at the INSPIRE Programme in Kolkata organized by Jagadis Bose

Centre for Excellence, Kolkata. 

June, 2013: Delivered a talk on “Misconceptions in Mathematics” in a programme entitled “Innovative Teaching Techniques” organized by
BASE, Mumbai.

February, 2013: Conducted a session on Geometry for Teacher Educators from Gujarat. This was a part of the Teachers’ Professional Development
programme held at HBCSE.

September, 2012: Delivered a talk on mathematical problem solving to school teachers at a workshop organised by BASE at Nehru Science Centre, Mumbai.

 February, 2012: Delivered a talk at the NCERT camp at HBCSE, Mumbai

 December, 2011: Delivered a talk at the INSPIRE camp at Vaze College, Mumbai.

December, 2011: Delivered two lectures at the Professional Development and Technology Orientation Programme (PDTO) workshop organized by
the Department of Mathematics, Indian Institute of Tecnology, Mumbai.

 

October, 2011: Delivered a talk on Geometry at a science camp entitled New Horizon of Science organized by Jagadish Bose Science Talent
Search, Kolkata in association with DST, Govt. of India.

February, 2011: Delivered two lectures to NTS awardees at HBCSE, Mumbai.

July, 2010: Delivered two lectures at a Secondary School Teachers’ Training Programme organised by BASE.