The 8^th International Pure Mathematics Conference 2007 (8^thIPMC 2007) was a joint venture of Quaid-i-Azam University, Preston University and the Pakistan Mathematical Society. The conference was supported by Higher Education Commission, Pakistan Science Foundation and the Currentage International Marketing (Pvt) Ltd.

The 8^th International Pure Mathematics Conference 2007 had ten foreign mathematicians from Australia, Hong Kong, Hungary, India, Japan, Russia, UK, and Yemen, 35 speakers from within Pakistan, and 113 participants.

The conference was given international publicity. It was advertised through the PMC Website http://www.pmc.org.pk. HEC has published information of the conference in its newsletter and displayed in its website the conference poster. The homepage of Quaid-i-Azam University, Islamabad, has also advertised the conference. In addition, the American Mathematical Society, the London Mathematical Society, and the Southeast Asian Mathematical Society have also published information about the conference in their newsletters and websites.

These conferences have provided a novel opportunity for researchers to meet and share their work. Many Ph.D. and M.Phil. students also attended the conference in order to update themselves to a level that is required to do original and better research.

The speakers consisted of experienced and reputable mathematicians working both outside and within the country. These conferences also provided an opportunity to develop collaboration in research between various mathematicians from different institutions and mathematical areas.

A simple two-hour inaugural session was arranged on the first day of the 8^th International Pure Mathematics Conference 2007. Some 260 invited guests attended the inaugural session. Dr Samar Mubarakmand, Chairman, National Engineering and Scientific Commission (NESCOM), was the chief guest.

The inaugural session was kept very simple and sombre. Professor Dr Qaiser Mushtaq Convener of the 8^th IPMC 2007 and President, Pakistan Mathematical Society, welcomed the chief guest and introduced the conference series. Dr Abdul Basit, Chancellor and President, Preston University introduced his university and deliberated on the purpose of supporting the conference. The Acting Vice Chancellor, Dr Zafar Iqbal Cheema represented Quaid-i-Azam University in his speech and highlighted its achievements especially in mathematics. The chief guest, Dr Samar Mubarakmand, thanked the hosts and appreciated the continual efforts of Professor Dr Qaiser Mushtaq for organizing the international pure mathematics conferences every year. He promised to provide support for the 9^th International Pure Mathematics Conference 2008.

The 8^th International Pure Mathematics Conference 2007 was thematic. Its theme was Algebra, Analysis, and Geometry. It was a rewarding experience to have so many mathematicians in Pakistan. It was an outcome of the collective efforts of the following committees:

Dr Qaiser Mushtaq
Professor of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
&
Full Honorary Professor, Mathematics Division, Institute of Basic Research, Palm Beach, Florida, USA.

Professor Qaiser Mushtaq (Convener)
Dr. Sarwar Jehan Abbasi
Professor Aftab Ahmed Khan
Professor Zahida Akram
Professor Mohammad Aslam
Dr Farhat Baber
Professor M.Gulzar
Professor Asif Ali Kazi
Professor K.D.Somro
Professor Lalarukh Kamal
Professor S.M.Yusuf
Professor Rasheed Ahmad

Col. (Retd) Nadeem Ahmed
Miss Saima Anis
Dr. Muhammad Ashiq
Miss Shahla Asif
Dr. Muhammad Aslam
Mrs. Ambreen Bano
Dr. A. Qayyum Bhatti
Professor Farha Diba
Miss. Khadija Farooq
Mr. Muhammad Inam
Professor Shama Javed
Prof. M.Sarwar Kamran
Professor Ghazala Khalid
Dr. Muhammad Farid Khan
Mr. Madad Khan
Prof. M. Shamir Khan
Professor Abdul Rauf Khan
Dr. Tariq Maqsood
Mr. Muhammad Mateen
Dr. Babur Majid Mirza
Professor Qaiser Mushtaq (Chairman)
Dr. Muhammad Yaqoob Nasir
Mr. Waseem Javed Qazi
Dr. Muhammad Sarwar Saeed
Dr. Khalid Saifullah
Dr. Muhammad Shabir
Dr. Tariq Shah
Dr. Saleem Sheikh
Mr. Nasir Siddiqi
Mr. Abdul Waseen Siddiqui
Dr. Nazir A. Zafar

The proceedings of the conference spread over three days. The first day there was inaugural session, Registration, a keynote lecture, and two parallel sessions of lectures each comprising 3 lectures. In the evening, from about 6.00 to 9.00, there was sightseeing tour. The second day there were one keynote lecture and two parallel sessions each comprising 9 lectures in each session. In the evening, from 5.10 to 8.00, there was again a sight seeing tour. The second day, there was Conference Dinner at the Holiday Inn. On the third day, there were a keynote lecture and two parallel sessions each comprising seven lectures. Every day there were two servings of tea and a lunch.

The guests were shown Faisal Mosque, Quaid-i-Azam University, Rawal Dam, Constitution Avenue, Daman-i-Koh, and Jinnah Super Market.

The registration fee for foreigners was US $ 50 and Rs. 1500 for the rest.

In the concluding session each foreign guest was invited to comment on his/her experience of being in Islamabad and on the conference. They all expressed their gratitude and appreciation of the good quality of research papers read at the conference and the hospitality rendered to them. They were of the view that this useful activity has introduced Pakistan very well to the global mathematical community. Further, it was unanimously resolved that there is a dire need to uplift mathematics in Pakistan. The research, teaching, and curriculum of mathematics need to be improved and the government needs to be urged to take serious note of the state of mathematics. In the end, it was decided that the 9th International Pure Mathematics Conference 2008 would be held in Islamabad in August 2008.

The 8^th International Pure Mathematics Conference 2007 was advertised by the following organizations. We list them here with gratitude.

The conference was given international publicity. A colourful poster was sent to the Vice Chancellors and Registrars of all the universities in Pakistan. Invitation cards were also sent to the members of the Pakistan Mathematical Society and prominent scientists for participation. The conference was advertised through the Conference’s own Website http://www.pmc.org.pk. HEC published information of the conference in its newsletter and displayed in its website the conference poster along with web connection. The Homepage of Quaid-i-Azam University, Islamabad, advertised the conference and displayed web connection. The American Mathematical Society and the London Mathematical Society published information about the conference in its Notices, and the Newsletter. The Southeast Asian Mathematical Society also publicised the conference on its website.

The conference was given due coverage in the media. Several news items appeared in the national newspapers, namely, Dawn, Jang, Daily Times, National Herald Tribune, Business Time, Pakistan Observer, Frontier Post, The Post, Jinnah, Din Akhbar, Pakistan on 25^th August 2007 Pakistan Television also covered the event and it was shown on PTV Khabarnama.

Arshad Imam
M. Ayub Khan Yousuf Zai
Tariq Shah
Muhammad Ashiq
Muhammad Irfan Ali
Syed Adnan Bukhari
M. A Rashid
Sarfaraz Ahmad
Mohib Ali
Muhammad Aslam
Nasir Sohail
Amyn Akbar Samani
Imran Javaid
Muhammad Saleem Khan
Munir Ahmed
Khalid Rashid
Muhammad Shamir
Tasneem Shah
Asghar Khan
Akhlaq Bhatti
Imran Anwar
Zahid Raza
Nazir Ahmad Zafar
Qaiser Mushtaq
Abdul Qayyum Bhatti
Sher Afzal
Abdul Rauf Khan
Saima Tariq
Zeeshan Khaliq
Muhammad Taimoor Khan
Azeem Ali Lakhani
Maryam Jamal
Sofia Kanwal
Khurram Shabir
Muhammad Aslam

The 7^th International Pure Mathematics Conference 2006 was held from 5^th to 7^th August 2006 in Islamabad. It had the privilege of having 6 keynote speakers, 17 foreign speakers, 26 speakers from within Pakistan, and 98 participants. There were 17 foreign guests from 6 countries. They were: Dr. G.M.Angizan (Iran), Dr. S.K.Banerjee (India), Dr. S.K.Bhambri (India), Mr. A.Bhardwaj (India), Prof. S.A.Iskhokov (Tajikstan), Mr. J.Collera (Philipines), Prof. B. K. Dass (India), Prof. M.M. Deza (France), Dr. H.Farea (Yemen), Dr. MD A. Hussain (India), Prof. P. K. Jain (India), Dr. S.M. Khairnar (India), Mr. M.J.Khilji (India), Dr. I. Nurov (Tajikstan), Prof. A.A. Rakhimov (Kazksitan), Dr. W. Saeed (Yemen), Prof. A.W. Vyawahare (India).

The Pakistan Mathematical Society, Quaid-i-Azam University, Higher Education Commission, and the Pakistan Science Foundation were supporting the conference. The conference was given international publicity. It was advertised through the PMC Website http://www.pmc.org.pk. HEC has published information of the conference in its newsletter and displayed in its website the conference poster. The homepage of Quaid-i-Azam University, Islamabad, has also advertised the conference. In addition, the American Mathematical Society, the London Mathematical Society, and the Southeast Asian Mathematical Society have also published information about the conference in their newsletters and websites.

These conferences have provided a novel opportunity for researchers to meet and share their work. Many Ph.D. and M.Phil. students also attended the conference in order to update themselves to a level that is required to do original and better research.

The speakers consisted of experienced and reputable mathematicians working both outside and within the country. These conferences also provided an opportunity to develop collaboration in research between various mathematicians from different institutions and mathematical areas.

A one-hour inaugural session was arranged on the first day of the 7th International Pure Mathematics Conference. Some 160 invited guests attended the inaugural session. Dr Akram Sheikh, Deputy Chairman, Planning Commission of Pakistan, was the chief guest.

The inaugural session was kept very simple and sombre. Professor B.A.Saleemi, President, Pakistan Mathematical Society, the Convener, Professor Dr Qaiser Mushtaq, and the Chief Guest delivered straightforward and short speeches.

The 7^th International Pure Mathematics Conference 2006 was thematic. Its theme was Algebra, Analysis, and Geometry. It is was again rewarding to have so many eminent mathematicians in Pakistan. Sixteen well known mathematicians from 6 countries, including France, India, Iran, Tajikstan, the Philipines, and Yemen attended the conference. It was an outcome of the collective efforts of the following committees:

The proceedings of the conference spread over three days. The first day there was inaugural session, Registration, two keynote lectures, and two parallel sessions each comprising five lectures. In the evening, from about 5.00 to 8.00, there was sight seeing tour. The second day there were three key note lectures and two parallel sessions each comprising eleven lectures. In the evening, from 5.10 to 8.00, there was again a sight seeing tour. The second day, there was Conference Dinner at the Hotel Margala. On the third day, there were two key note lectures and two parallel sessions each comprising nine lectures. Every day there were two servings of tea and a lunch.

The guests were shown Faisal Mosque, Quaid-i-Azam University, Rawal Dam, Shakar Parian, Constitution Avenue, and Folk Heritage Museum. Speakers were served dinners at Holiday Inn and Pearl Continental.

The registration fee for foreigners was US $ 25, Rs 500 for students, and Rs 1000 for the rest. Registered guests were provided with brief cases containing several items concerning the conference. A group photo was taken at the end of the conference.

National participants were provided free accommodation at the Dreamland Hotel and at the Royal Inn, and the foreign invited speakers were put up at the Hotel Margala.

The conference was given due coverage in the media. Several news items appeared in the national newspapers, namely Dawn (6^th August 2006) and The News (6^th August 2006), Pakistan Television also covered the event and it was shown on PTV Khabarnama.

The last session was devoted to the discussion on the state of mathematics education in Pakistan. In the end Professor B.A.Saleemi, Professor M.M.Deza, and Professor Q.Mushtaq appreciated the quality of the papers read at the conference. They expressed their thanks also for the warm hospitality. They were of the view that this useful activity has introduced Pakistan very well to the global mathematical community.

The 6^th International Pure Mathematics Conference 2005 was held from 20^th to 22^nd August 2005 in Islamabad. Its theme was Algebra, Analysis, Geometry and Mechanics. It was for the first time in the history of mathematics in Pakistan that so many eminent mathematicians congregated in Pakistan. Twenty well known mathematicians from 18 countries, including the US, China, India, Japan, Canada, Italy, Iran, and Turkey attended the conference.

The twenty invited speakers who attended the conference were Professor Melvin Henriksen (USA), Professor Robert Redfield (USA), Professor S.T. Rizvi (USA), Dr. Mohammad Saleem (USA), Professor Yuqun Chen (China), Professor Nanqing Ding (China), Professor M. Diker (Turkey), Professor Alberto Facchini (Italy), Professor Mikio Kano (Japan), Dr. Ali Reza Moghaddamfar (Iran), Professor B. K. Dass (India), Professor P. K. Jain (India), Dr. S.M. Khairnar (India), Professor Vilas S. Kharat (India), Professor I.B.S. Passi (India), Professor Dipendra Prasad (India), Professor Shashirekha B. Rai (India), Professor Anant Wasudeo Vyawahare (India), Professor Richard Wiegandt (Hungary), and Professor Narain Datt Gupta FRSC (Canada). There were nine keynote speakers, each being allotted forty minutes, and fifty short communications, each of 20 minutes. Over 180 people applied to attend the conference, and 96 participants were short listed for participation. The lectures topics covered the main four branches of pure and applied mathematics, namely, algebra, analysis, geometry and mechanics.

The conference provided a novel opportunity for researchers to meet and share their work. Many Ph.D. and M.Phil. students also attended the conference in order to update themselves to a level that is required to do original and better research.

The speakers consisted of experienced and reputable mathematicians working both outside and within the country. The conference also provided an opportunity to develop collaboration in research between various mathematicians from different institutions and mathematical areas.

A simple one-hour inaugural session was arranged on the first day of the 6th International Pure Mathematics Conference. Some 160 invited guests attended the inaugural session. Professor Dr Atta ur Rahaman, Chairman, Higher Education Commission, was the chief guest.

The inaugural session was simple and sombre. Professor B.A.Saleemi, President, Pakistan Mathematical Society, the Convener, Professor Dr Qaiser Mushtaq, and the Chief Guest delivered short speeches. Professor Dr Qaiser Mushtaq, the founding convener of the series of International Pure Mathematics Conferences, which are held in Islamabad every August, explained the history of the IPMC and highlighted its benefits especially to the young mathematical community of Pakistan and the role these conferences are playing in bringing Pakistan into the limelight of the international community of mathematicians.

The proceedings of the conference spread over three days. On the first day there was the inaugural session, registration, three keynote lectures, and two parallel sessions each comprising five lectures. In the evening, from about 5.10 to 8.00, there was a sightseeing tour.

On the second day, there were three keynote lectures and two parallel sessions each comprising eleven lectures. In the evening, from 5.10 to 8.00, there was again a sight seeing tour. After that there was a conference dinner which was served, courtesy of the Riphah International University, Islamabad. The Vice Chancellor, Professor Dr Mohsin Ahmad, personally welcomed the guests.

On the third day, there were three keynote lectures and two parallel sessions each comprising nine lectures.

Every day, tea was served twice as well as lunch. Amongst the places which the participants were taken on the sight-seeing tours include Faisal Mosque, Quaid-i-Azam University, Shaker Parian, Constitution Avenue, Folk Heritage Museum, and Taxila. In addition to the conference dinner at Rifah International University, speakers were also served dinners at Holiday Inn, Best Western, and Wang Fu.

The last session was devoted to the discussion on the state of mathematics in Pakistan. Professor Y.Q.Chen (PRC), Professor M.Diker (Turkey), Professor Q.Ding (PRC), Professor Alberto Facchini (Italy), Professor Henrikson (USA), Professor M.Kano (Japan), Dr A.R.Moghaddamfar (Iran), Professor I.B.Passi (India) and Professor Qaiser Mushtaq appreciated the quality of the papers read at the conference. They expressed their thanks also for the warm hospitality. They were of the view that this useful activity has introduced Pakistan very well to the global mathematical community. Further, it was unanimously resolved that there was a dire need to uplift mathematics in Pakistan. The research, teaching, and curriculum of mathematics needed to be improved and the government needed to be urged to take serious note of the state of mathematics. In the end, it was decided that the 7^th International Pure Mathematics Conference 2006 would be held in Islamabad in August 2006.

The conference was given national and international publicity. A colourful poster was sent to the Vice Chancellors and Registrars of all the universities in Pakistan. Invitation cards were also sent to the members of the Pakistan Mathematical Society and prominent scientists for participation. The conference was advertised through the Website http://www.pmc.org.pk. HEC published information of the conference in its newsletter and displayed in its website the conference poster along with the web connection. The homepage of Quaid-i-Azam University, Islamabad, advertised the conference and displayed the web connection. The American Mathematical Society and the London Mathematical Society published information about the conference in its Notices, and The Newsletter.

The conference was given due coverage in the print and electronic media. Several news items appeared in the national newspapers, namely Dawn (21^st August 2005), The News (21^st August 2005), and Pakistan Observer (21^st August 2005). Pakistan Television also covered the event which was shown on PTV Khabarnama.

Every day, tea was served twice as well as lunch. Amongst the places which the participants were taken on the sight-seeing tours include Faisal Mosque, Quaid-i-Azam University, Shaker Parian, Constitution Avenue, Folk Heritage Museum, and Taxila. In addition to the conference dinner at Rifah International University, speakers were also served dinners at Holiday Inn, Best Western, and Wang Fu.

The 5^th International Pure Mathematics Conference 2004 was was held from 20^th to 22^nd August 2004 at the Best Western Hotel. Seven invited speakers, namely:

attended the conference. This is first time in the history of mathematics in Pakistan that so many invited speakers came from abroad. Some 120 mathematicians in total attended the conference.

The Pakistan Telecommunication Company Ltd (PTCL), the Higher Education Commission (HEC), Air University and the Pakistan Mathematical Society supported the conference. A simple one-hour inaugural session was arranged on the first day of the 5th International Pure Mathematics Conference. The list of invited guests was short. The Special Advisor to the Prime Minister and Eminent Scientist, Dr Ishfaq Ahmad was the chief guest. Some 135 eminent scientists, educationists and senior government officials along with participants of the conference attended the inaugural session.

The inaugural session was kept very simple and sombre. The Convener, Professor Dr Qaiser Mushtaq, and the Chief Guest delivered straightforward and short speeches. At the end of the session, the guests were served tea with cookies only. The 5th International Pure Mathematics Conference 2004 was thematic. Its theme was Algebra, Analysis, Geometry and Mechanics. It was an outcome of the collective efforts of the following committees:

The proceedings of the conference was divided into nine sessions which were chaired by Professor B.A.Saleemi, Professor K.P.Shum, Professor S.T.Rizvi, Professor R.S.Tyagi, Professor B.K.Dass, Professor Q.Mushtaq, Professor P.K.Jain, Professor S.N.Sidki, and Professor N.Ding. In total, thirty-three papers in the fields of:

were read at the conference. There were 7 foreign speakers and 26 local speakers. In total 120 participants attended the conference proceedings.The last session was devoted to the discussion on the state of mathematics in Pakistan. Professor B.A.Saleemi, Professor K.P.Shum, Professor S.T.Rizvi, Professor R.S.Tyagi, Professor B.K.Dass, Professor Q.Mushtaq, Professor P.K.Jain, Professor S.N.Sidki, and Professor N.Ding spoke. It was unanimously resolved that there is a dire need to uplift mathematics in Pakistan. The research, teaching, and curriculum of mathematics need to be improved and the government needs to be urged to take serious note of the state of mathematics. In the end, it was decided that the 6th International Pure Mathematics Conference 2005 would be held in Islamabad in August 2005.

The 4^th International Pure Mathematics Conference 2003 was an international activity organised by the Department of Mathematics, Quaid-i-Azam University, Islamabad and the Pakistan Mathematical Society. It was co-sponsored by the Pakistan Science Foundation, Pakistan Telecommunication Company Limited and COMSATS. This time around 100 mathematicians participated in the conference with a majority of postgraduate students.

At the end of the second conference, it was proposed that the 3rd Pure Mathematics Conference 2002 would be hosted by Allama Iqbal Open University, Islamabad. Allama Iqbal Open University Islamabad, Pakistan Science Foundation and Pakistan Mathematical Society sponsored the 3rd Pure Mathematics Conference 2002. The following speakers presented their research.

At the end of the first conference, it was decided that the Pure Mathematics Conference should take place every year. Therefore, the 2nd Pure Mathematics Conference 2001, held in Islamabad during 8-9 August 2001, was organised by Professor Qaiser Mushtaq and his research group with the help of the Pakistan Science Foundation and Quaid-i-Azam University, Islamabad. This time the newly established Pakistan Mathematical Society was also involved in organising the conference. Around 70 mathematicians from all around the country participated and the following were speakers.

It was the first time that the algebra group in the department of mathematics at Quaid-i-Azam University felt that there is a need to stimulate and enhance research in pure mathematics in particular and mathematics in general in Pakistan. A good number of pure mathematicians had shown interest in holding a mathematical activity such as this. Thus a number of senior Pakistani mathematicians were consulted and their approval was sought to deliver lectures on the latest research trends in their fields of interest in the eventuality of holding such a mathematical activity. It was in this spirit that the 1st Pure Mathematics Conference 2000 (1st PMC 2000), held in Islamabad on 8^th August 2000, was organised by Professor Qaiser Mushtaq and his group with the help of Quaid-i-Azam University, Islamabad.