Research
Solutions in Mathematical Reflections
Mathematical Reflections, the journal founded by Titu Andreescu, prints with each of its problems the names of the readers who sent correct solutions. The list gives, issue by issue, the problems for which it named pupils of the circle, from issue 3 of 2024 to issue 6 of 2025. Pupils who have since left the circle are included. Problems are numbered as in the journal: J junior, S senior, U undergraduate and O olympiad. The totals stand under Research.
2025¶
Issue 6problems J715–O720¶
| Problem | Solvers |
|---|---|
| J715 | Saarang Agarwal, Parth Sakharam Andhare, Loukya Ghanta, Shaurya Patil |
| J716 | Saarang Agarwal, Parth Sakharam Andhare, Kalkin Gandhi, Loukya Ghanta, Madani Harouach, Shrivathsan Krishnan, Thomas McCormick, Shaurya Patil, Aarnav Sivachandran |
| J717 | Parth Sakharam Andhare |
| J718 | Saarang Agarwal, Parth Sakharam Andhare, Thomas McCormick, Shaurya Patil |
| J719 | Parth Sakharam Andhare |
| J720 | Parth Sakharam Andhare |
| S715 | Saarang Agarwal |
| S716 | Parth Sakharam Andhare |
| U720 | Parth Sakharam Andhare, Madani Harouach |
Issue 5problems J709–O714¶
| Problem | Solvers |
|---|---|
| J709 | Aarnav Sivachandran |
| J710 | Thomas McCormick |
| J711 | Kalkin Gandhi, Thomas McCormick |
| J713 | Thomas McCormick |
| S709 | Aarnav Sivachandran |
| U711 | Madani Harouach |
Issue 4problems J703–O708¶
| Problem | Solvers |
|---|---|
| J703 | Parth Sakharam Andhare, Keisha Kwok, Aaditya Sahu |
| J704 | Prasanna Mahesh Pawar, Aaditya Sahu, Medha Shrivastava |
| J705 | Keisha Kwok, Prasanna Mahesh Pawar, Aaditya Sahu, Aarnav Sivachandran |
| J706 | Kalkin Gandhi, Keisha Kwok, Sergei Makarevich, Aaditya Sahu, Medha Shrivastava, Aarnav Sivachandran |
| J707 | Parth Sakharam Andhare, Kalkin Gandhi, Sergei Makarevich, Thomas McCormick, Aaditya Sahu |
| J708 | Sergei Makarevich |
| S703 | Madani Harouach, Keisha Kwok, Prasanna Mahesh Pawar, Aaditya Sahu |
| S704 | Aaditya Sahu |
| S705 | Keisha Kwok, Sergei Makarevich, Prasanna Mahesh Pawar, Aaditya Sahu, Medha Shrivastava |
| S707 | Madani Harouach, Sergei Makarevich |
| U703 | Madani Harouach, Keisha Kwok, Sergei Makarevich |
| U705 | Parth Sakharam Andhare, Madani Harouach, Keisha Kwok |
| U706 | Sergei Makarevich |
| O704 | Madani Harouach, Prasanna Mahesh Pawar |
| O705 | Madani Harouach, Keisha Kwok |
| O708 | Madani Harouach, Keisha Kwok, Medha Shrivastava |
Issue 3problems J697–O702¶
| Problem | Solvers |
|---|---|
| J697 | Parth Sakharam Andhare, Charvi Atreya, Sarthak Dattatray Dhobale, Madani Harouach, Shrivathsan Krishnan, Sumanyu Nandecha, Huy Nguyen, Prasanna Mahesh Pawar, Aaditya Sahu, Medha Shrivastava, Juan Silvera, Aarnav Sivachandran |
| J698 | Parth Sakharam Andhare, Charvi Atreya, Sarthak Dattatray Dhobale, Madani Harouach, Shrivathsan Krishnan, Keisha Kwok, Sumanyu Nandecha, Huy Nguyen, Aaditya Sahu, Medha Shrivastava, Aarnav Sivachandran |
| J699 | Charvi Atreya, Sarthak Dattatray Dhobale, Madani Harouach, Sumanyu Nandecha, Aaditya Sahu |
| J700 | Parth Sakharam Andhare, Sarthak Dattatray Dhobale, Madani Harouach, Keisha Kwok, Sumanyu Nandecha |
| J701 | Parth Sakharam Andhare, Charvi Atreya, Sarthak Dattatray Dhobale, Madani Harouach, Keisha Kwok |
| J702 | Keisha Kwok |
| S699 | Parth Sakharam Andhare, Sarthak Dattatray Dhobale, Madani Harouach, Prasanna Mahesh Pawar, Medha Shrivastava |
| S700 | Parth Sakharam Andhare, Madani Harouach, Sumanyu Nandecha, Aaditya Sahu |
| U701 | Keisha Kwok |
| O699 | Madani Harouach |
Issue 2problems J691–O696¶
| Problem | Solvers |
|---|---|
| J691 | Parth Sakharam Andhare, Sarthak Dattatray Dhobale, Keisha Kwok, Sumanyu Nandecha, Prasanna Mahesh Pawar, Aaditya Sahu, Juan Silvera, Darsan Sivakumar |
| J692 | Parth Sakharam Andhare, Sarthak Dattatray Dhobale, Keisha Kwok, Prasanna Mahesh Pawar |
| J693 | Parth Sakharam Andhare, Sarthak Dattatray Dhobale, Keisha Kwok, Prasanna Mahesh Pawar, Aaditya Sahu, Medha Shrivastava |
| J694 | Parth Sakharam Andhare, Keisha Kwok |
| J695 | Keisha Kwok, Aaditya Sahu, Juan Silvera |
| J696 | Keisha Kwok, Aaditya Sahu |
| S692 | Keisha Kwok |
| S693 | Sarthak Dattatray Dhobale, Keisha Kwok, Prasanna Mahesh Pawar, Aaditya Sahu |
| S694 | Keisha Kwok, Aaditya Sahu |
| S695 | Keisha Kwok, Sumanyu Nandecha |
| S696 | Keisha Kwok |
| U693 | Parth Sakharam Andhare, Sarthak Dattatray Dhobale |
| O694 | Sarthak Dattatray Dhobale, Keisha Kwok, Prasanna Mahesh Pawar |
| O695 | Keisha Kwok |
| O696 | Sarthak Dattatray Dhobale, Sumanyu Nandecha, Prasanna Mahesh Pawar |
Issue 1problems J685–O690¶
| Problem | Solvers |
|---|---|
| J685 | Nikolai N. Mnev, Sumanyu Nandecha, Aaditya Sahu |
| J686 | Nihad Hashimov, Sumanyu Nandecha, Aaditya Sahu |
| J687 | Kalkin Gandhi, Nihad Hashimov, Nikolai N. Mnev, Aaditya Sahu, Medha Shrivastava |
| J688 | Medha Shrivastava |
| J689 | Kalkin Gandhi, Sumanyu Nandecha, Aaditya Sahu |
| J690 | Prasanna Mahesh Pawar |
| S685 | Nihad Hashimov, Sumanyu Nandecha, Prasanna Mahesh Pawar, Aaditya Sahu |
| S686 | Aaditya Sahu |
| S687 | Nihad Hashimov, Nikolai N. Mnev |
| U689 | Prasanna Mahesh Pawar |
2024¶
Issue 6problems J679–O684¶
| Problem | Solvers |
|---|---|
| J679 | Prasanna Mahesh Pawar |
| J684 | Prasanna Mahesh Pawar |
| U679 | Prasanna Mahesh Pawar |
Issue 5problems J673–O678¶
| Problem | Solvers |
|---|---|
| J673 | Prasanna Mahesh Pawar |
| S675 | Nihad Hashimov |
| U677 | Prasanna Mahesh Pawar |
Issue 4problems J667–O672¶
| Problem | Solvers |
|---|---|
| J667 | Parth Sakharam Andhare, Shlok Bhalotia, Sarthak Dattatray Dhobale, Kalkin Gandhi, Nihad Hashimov, Kaushik Kashyap, Raslene Labbedi, Nikolai N. Mnev, Raeyaan V. Muppaneni, Prasanna Mahesh Pawar, Aaditya Sahu, Medha Shrivastava, Darsan Sivakumar |
| J669 | Sarthak Dattatray Dhobale, Nihad Hashimov, Prasanna Mahesh Pawar |
| J671 | Sarthak Dattatray Dhobale |
| J672 | Parth Sakharam Andhare, Sarthak Dattatray Dhobale, Nihad Hashimov, Prasanna Mahesh Pawar, Juan Silvera |
| S667 | Parth Sakharam Andhare, Shlok Bhalotia, Nihad Hashimov, Kaushik Kashyap, Raslene Labbedi, Nikolai N. Mnev, Prasanna Mahesh Pawar, Medha Shrivastava, Darsan Sivakumar |
| S669 | Sarthak Dattatray Dhobale |
| S670 | Nihad Hashimov |
| S671 | Sarthak Dattatray Dhobale |
| S672 | Nihad Hashimov |
| U668 | Sarthak Dattatray Dhobale, Nihad Hashimov, Prasanna Mahesh Pawar |
| O667 | Sarthak Dattatray Dhobale, Nihad Hashimov, Kaushik Kashyap, Prasanna Mahesh Pawar, Medha Shrivastava |
| O668 | Sarthak Dattatray Dhobale, Nihad Hashimov, Kaushik Kashyap, Raslene Labbedi |
Issue 3problems J661–O666¶
| Problem | Solvers |
|---|---|
| J661 | Parth Sakharam Andhare, Sarthak Dattatray Dhobale, Kalkin Gandhi, Nihad Hashimov, Kaushik Kashyap, Nikolai N. Mnev, Prasanna Mahesh Pawar, Medha Shrivastava |
| J663 | Sarthak Dattatray Dhobale, Nihad Hashimov, Nikolai N. Mnev, Medha Shrivastava |
| J664 | Sarthak Dattatray Dhobale, Nihad Hashimov |
| J666 | Sarthak Dattatray Dhobale, Nihad Hashimov |
| S661 | Parth Sakharam Andhare, Sarthak Dattatray Dhobale, Kalkin Gandhi, Nihad Hashimov, Kaushik Kashyap |
| S663 | Parth Sakharam Andhare, Sarthak Dattatray Dhobale, Nihad Hashimov, Kaushik Kashyap, Nikolai N. Mnev, Raeyaan V. Muppaneni, Prasanna Mahesh Pawar, Aaditya Sahu, Medha Shrivastava |
| S666 | Sarthak Dattatray Dhobale |
| U661 | Sarthak Dattatray Dhobale |
| U664 | Sarthak Dattatray Dhobale |
By pupil¶
Each pupil named, with the number of solutions and the problems, by year and issue. Names are given as on the Pupils page, or as the journal printed them.
- Saarang Agarwal42025/6: J715, J716, J718, S715
- Parth Sakharam Andhare282025/6: J715, J716, J717, J718, J719, J720, S716, U720; 2025/4: J703, J707, U705; 2025/3: J697, J698, J700, J701, S699, S700; 2025/2: J691, J692, J693, J694, U693; 2024/4: J667, J672, S667; 2024/3: J661, S661, S663
- Charvi Atreya42025/3: J697, J698, J699, J701
- Shlok Bhalotia22024/4: J667, S667
- Sarthak Dattatray DhobaleCollected solutions: Mathematical Reflections (PDF)312025/3: J697, J698, J699, J700, J701, S699; 2025/2: J691, J692, J693, S693, U693, O694, O696; 2024/4: J667, J669, J671, J672, S669, S671, U668, O667, O668; 2024/3: J661, J663, J664, J666, S661, S663, S666, U661, U664
- Kalkin Gandhi92025/6: J716; 2025/5: J711; 2025/4: J706, J707; 2025/1: J687, J689; 2024/4: J667; 2024/3: J661, S661
- Loukya Ghanta22025/6: J715, J716
- Madani Harouach182025/6: J716, U720; 2025/5: U711; 2025/4: S703, S707, U703, U705, O704, O705, O708; 2025/3: J697, J698, J699, J700, J701, S699, S700, O699
- Nihad Hashimov202025/1: J686, J687, S685, S687; 2024/5: S675; 2024/4: J667, J669, J672, S667, S670, S672, U668, O667, O668; 2024/3: J661, J663, J664, J666, S661, S663
- Kaushik Kashyap72024/4: J667, S667, O667, O668; 2024/3: J661, S661, S663
- Shrivathsan Krishnan32025/6: J716; 2025/3: J697, J698
- Keisha Kwok272025/4: J703, J705, J706, S703, S705, U703, U705, O705, O708; 2025/3: J698, J700, J701, J702, U701; 2025/2: J691, J692, J693, J694, J695, J696, S692, S693, S694, S695, S696, O694, O695
- Raslene Labbedi32024/4: J667, S667, O668
- Sergei Makarevich72025/4: J706, J707, J708, S705, S707, U703, U706
- Thomas McCormick62025/6: J716, J718; 2025/5: J710, J711, J713; 2025/4: J707
- Nikolai N. Mnev82025/1: J685, J687, S687; 2024/4: J667, S667; 2024/3: J661, J663, S663
- Raeyaan V. Muppaneni22024/4: J667; 2024/3: S663
- Sumanyu Nandecha122025/3: J697, J698, J699, J700, S700; 2025/2: J691, S695, O696; 2025/1: J685, J686, J689, S685
- Huy Nguyen22025/3: J697, J698
- Shaurya Patil32025/6: J715, J716, J718
- Prasanna Mahesh PawarCollected solutions: Mathematical Reflections · Crux Mathematicorum (PDF)292025/4: J704, J705, S703, S705, O704; 2025/3: J697, S699; 2025/2: J691, J692, J693, S693, O694, O696; 2025/1: J690, S685, U689; 2024/6: J679, J684, U679; 2024/5: J673, U677; 2024/4: J667, J669, J672, S667, U668, O667; 2024/3: J661, S663
- Aaditya Sahu262025/4: J703, J704, J705, J706, J707, S703, S704, S705; 2025/3: J697, J698, J699, S700; 2025/2: J691, J693, J695, J696, S693, S694; 2025/1: J685, J686, J687, J689, S685, S686; 2024/4: J667; 2024/3: S663
- Medha Shrivastava162025/4: J704, J706, S705, O708; 2025/3: J697, J698, S699; 2025/2: J693; 2025/1: J687, J688; 2024/4: J667, S667, O667; 2024/3: J661, J663, S663
- Juan Silvera42025/3: J697; 2025/2: J691, J695; 2024/4: J672
- Aarnav Sivachandran72025/6: J716; 2025/5: J709, S709; 2025/4: J705, J706; 2025/3: J697, J698
- Darsan Sivakumar32025/2: J691; 2024/4: J667, S667